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References

All references

* {{Adams Franzosa Introduction to Topology Pure and Applied}} <!--{{sfn|Adams|Franzosa|2009|p=}}--> * {{Adams Fournier Sobolev Spaces|edition=2}} <!--{{sfn|Adams|Fournier|2003|p=}}--> * {{Adasch Topological Vector Spaces|edition=2}} <!--{{sfn|Adasch|Ernst|Keim|1978|p=}}--> * {{Aliprantis Border Infinite Dimensional Analysis A Hitchhiker's Guide Third Edition}} <!--{{sfn|Aliprantis|Border|2006|p=}}--> * {{Arkhangel'skii Ponomarev Fundamentals of General Topology Problems and Exercises|edition=2}} <!--{{sfn|Arkhangelʹskiĭ|Ponomarev|1984|p=}}--> * {{Arnold Mathematical Methods of Classical Mechanics 1989}} <!--{{sfn|Arnold|1989|p=}}--> * {{Bachman Narici Functional Analysis 2nd Edition}} <!--{{sfn|Bachman|Narici|2000|p=}}--> * {{Bahouri Chemin Danchin Fourier Analysis and Nonlinear Partial Differential Equations 2011}} <!--{{sfn|Bahouri|Chemin|Danchin|2011|p=}}--> * {{Banach Théorie des Opérations Linéaires}} <!--{{sfn|Banach|1932|p=}}--> * {{Bauschke Combettes Convex Analysis and Monotone Operator Theory in Hilbert Spaces 2nd ed 2017}} <!--{{sfn|Bauschke|Combettes|2017|pp=}}--> * {{Berberian Lectures in Functional Analysis and Operator Theory}} <!--{{sfn|Berberian|1974|p=}}--> * {{Bessaga Pełczyński Selected Topics in Infinite-Dimensional Topology}} <!--{{sfn|Bessaga|Pełczyński|1975|p=}}--> * {{Bierstedt An Introduction to Locally Convex Inductive Limits}} <!--{{sfn|Bierstedt|1988|p=}}--> * {{Bogachev Smolyanov Topological Vector Spaces and Their Applications}} <!--{{sfn|Bogachev|Smolyanov|2017|p=}}--> * {{Bourbaki Algebra I Chapters 1-3 Springer}} <!--{{sfn|Bourbaki|1989|p=}}--> * {{Bourbaki Algebra II Chapters 4-7 Springer}} <!--{{sfn|Bourbaki|2003|p=}}--> * {{Bourbaki Functions of a Real Variable Elementary Theory Springer}} <!--{{sfn|Bourbaki|2013|p=}}--> * {{Bourbaki General Topology Part I Chapters 1-4}} <!--{{sfn|Bourbaki|1989|p=}}--> * {{Bourbaki General Topology Part II Chapters 5-10}} <!--{{sfn|Bourbaki|1989|p=}}--> * {{Bourbaki Topological Vector Spaces Part 1 Chapters 1–5}} <!--{{sfn|Bourbaki|1987|p=}}--> * {{Boyd Vandenberghe Convex Optimization 2004}} <!--{{sfn|Boyd|Vandenberghe|2004|pp=}}--> * {{Colombeau Differential Calculus and Holomorphy}} <!--{{sfn|Colombeau|1982|p=}}--> * {{Comfort Negrepontis The Theory of Ultrafilters 1974}} <!--{{sfn|Comfort|Negrepontis|1974|p=}}--> * {{Conway A Course in Functional Analysis|edition=2}} <!--{{sfn|Conway|1990|p=}}--> * {{Császár General Topology}} <!--{{sfn|Császár|1978|p=}}--> * {{Diestel The Metric Theory of Tensor Products Grothendieck's Résumé Revisited}} <!--{{sfn|Diestel|2008|p=}}--> * {{Dineen Complex Analysis in Locally Convex Spaces}} <!--{{sfn|Dineen|1981|p=}}--> * {{Dixmier General Topology}} <!--{{sfn|Dixmier|1984|p=}}--> * {{Dolecki Mynard Convergence Foundations Of Topology}} <!--{{sfn|Dolecki|Mynard|2016|p=}}--> * {{cite journal|last=Dolecki|first=Szymon|date=2009|title=An initiation into convergence theory|url=http://dolecki.perso.math.cnrs.fr/init_IX07.pdf|journal=Beyond Topology|editor1-last=Mynard|editor1-first=Frédéric|editor2-last=Pearl|editor2-first=Elliott|series=Contemporary Mathematics Series A.M.S.|volume=486|issue=|pages=115-162|doi=|access-date=14 January 2021}} <ref name="Dolecki 2009 Init Conv 1-51">{{harvnb|Dolecki|2009|pages=1-51}}</ref> * {{cite journal|last1=Dolecki|first1=Szymon|last2=Mynard|first2=Frédéric|date=2014|title=A unified theory of function spaces and hyperspaces: local properties|url=http://dolecki.perso.math.cnrs.fr/18dolecki.pdf|journal=Houston J. Math.|volume=40|issue=1|pages=285-318|doi=|access-date=14 January 2021}} <ref name="Dolecki Szymon 2014 Unified 1-25">{{harvnb|Dolecki|Mynard|2014|pages=1-25}}</ref> * {{Dubinsky The Structure of Nuclear Fréchet Spaces}} <!--{{sfn|Dubinsky|1979|p=}}--> * {{Dugundji Topology}} <!--{{sfn|Dugundji|1966|p=}}--> * {{Dunford Schwartz Linear Operators Part 1 General Theory}} <!--{{sfn|Dunford|1988|p=}}--> * {{Durrett Probability Theory and Examples 5th Edition}} <!--{{sfn|Durrett|2019|p=}}--> * {{Edwards Functional Analysis Theory and Applications}} <!--{{sfn|Edwards|1995|p=}}--> * {{Grothendieck Produits Tensoriels Topologiques et Espaces Nucléaires}} <!--{{sfn|Grothendieck|1955|p=}}--> * {{Grothendieck Sur les espaces (F) et (DF)}} <!--{{sfn|Grothendieck|1954|p=}}--> * {{Grothendieck Topological Vector Spaces}} <!--{{sfn|Grothendieck|1973|p=}}--> * {{cite book|last1=Gowers|first1=Timothy|last2=Barrow-Green|first2=June|last3=Leader|first3=Imre|title=The Princeton Companion to Mathematics|publisher=Princeton University Press|publication-place=Princeton|year=2008|isbn=978-1-4008-3039-8|oclc=659590835}} <!--{{sfn|Gowers|Barrow-Green|Leader|2008|p=}}--> * {{Halmos A Hilbert Space Problem Book 1982}} <!--{{sfn|Halmos|1982|pp=}}--> * {{Halmos Introduction to Hilbert Space and the Theory of Spectral Multiplicity 2017}} <!--{{sfn|Halmos|2017|pp=}}--> * {{Hastie Tibshirani Friedman The Elements of Statistical Learning 2009}} <!--{{sfn|Hastie|Tibshirani|Friedman|2009|pp=}}--> * {{Hogbe-Nlend Bornologies and Functional Analysis}} <!--{{sfn|Hogbe-Nlend|1977|p=}}--> * {{Hogbe-Nlend Moscatelli Nuclear and Conuclear Spaces}} <!--{{sfn|Hogbe-Nlend|Moscatelli|1981|p=}}--> * {{Horváth Topological Vector Spaces and Distributions Volume 1 1966}} <!--{{sfn|Horváth|1966|p=}}--> * {{Howes Modern Analysis and Topology 1995}} <!--{{sfn|Howes|1995|p=}}--> * {{Husain Khaleelulla Barrelledness in Topological and Ordered Vector Spaces}} <!--{{sfn|Husain|Khaleelulla|1978|p=}}--> * {{Ingram An Introduction to Inverse Limits with Set-valued Functions 2012}} <!--{{sfn|Ingram|2012|p=}}--> * {{Ingram Inverse Limits From Continua to Chaos 2012}} <!--{{sfn|Ingram|Mahavier|2012|p=}}--> * {{Jarchow Locally Convex Spaces}} <!--{{sfn|Jarchow|1981|p=}}--> * {{Joshi Introduction to General Topology}} <!--{{sfn|Joshi|1983|p=}}--> * {{Keller Differential Calculus in Locally Convex Spaces}} <!--{{sfn|Keller|1974|p=}}--> * {{Kelley General Topology}} <!--{{sfn|Kelley|1975|p=}}--> * {{Kelley Namioka Linear Topological Spaces 1963}} <!--{{sfn|Kelley|Namioka|1963|p=}}--> * {{Khaleelulla Counterexamples in Topological Vector Spaces}} <!--{{sfn|Khaleelulla|1982|p=}}--> * {{Kolmogorov Fomin Elements of the Theory of Functions and Functional Analysis}} <!--{{sfn|Kolmogorov|Fomin|1957|p=}}--> * {{Kosinski Differential Manifolds 2007}} <!--{{sfn|Kosinski|2007|p=}}--> * {{Köthe Topological Vector Spaces I}} <!--{{sfn|Köthe|1969|p=}}--> * {{Köthe Topological Vector Spaces II}} <!--{{sfn|Köthe|1979|p=}}--> * {{Kriegl Michor The Convenient Setting of Global Analysis}} <!--{{sfn|Kriegl|Michor|1997|p=}}--> * {{Kubrusly The Elements of Operator Theory 2nd Edition 2011}} <!--{{sfn|Kubrusly|2011|p=}}--> * {{Lax Functional Analysis}} <!--{{sfn|Lax|2002|p=}}--> * {{Lang Fundamentals of Differential Geometry}} <!--{{sfn|Lang|1999|p=}}--> * {{Lang Real and Functional Analysis 1993}} <!--{{sfn|Lang|1993|p=}}--> * {{Lee Introduction to Smooth Manifolds|edition=2}} <!--{{sfn|Lee|2012|p=}}--> * {{Lee Riemannian Manifolds An Introduction to Curvature|edition=1}} <!--{{sfn|Lee|1997|p=}}--> * {{Malkowsky Rakočević Advanced Functional Analysis|edition=1}} <!--{{sfn|Malkowsky|Rakočević|2020|p=}}--> * {{cite book|last=Marker|first=David|title=Model Theory: An Introduction|publisher=Springer|series=[[Graduate Texts in Mathematics]]|volume=217|year=2002|isbn=978-0-387-98760-6|oclc=49326991}} <!--{{sfn|Marker|2002|p=}}--> * {{McKennon Robertson Locally Convex Spaces}} <!--{{sfn|McKennon|Robertson|1976|p=}}--> * {{Munkres Topology|edition=2}} <!--{{sfn|Munkres|2000|p=}}--> * {{Narici Beckenstein Topological Vector Spaces|edition=2}} <!--{{sfn|Narici|Beckenstein|2011|p=}}--> * {{Nestruev Smooth Manifolds and Observables 2020}} <!--{{sfn|Nestruev|2020|p=}}--> * {{Osborne Locally Convex Spaces}} <!--{{sfn|Osborne|2013|p=}}--> * {{Pietsch Nuclear Locally Convex Spaces|edition=2}} <!--{{sfn|Pietsch|1979|p=}}--> * {{cite book|last=Pincus|first=David|author-link=David Pincus|editor-last1=Hurd|editor-first1=A.|editor-last2=Loeb|editor-first2=P.|year=1974|title=Victoria Symposium on Nonstandard Analysis|chapter=The strength of the Hahn-Banach theorem|series=Lecture Notes in Mathematics|pages=203–248|volume=369|publisher=Springer|publication-place=Berlin, Heidelberg|isbn=978-3-540-06656-9|issn=0075-8434|doi=10.1007/bfb0066014}} <!--{{sfn|Pincus|1974|p=}}--> * {{Riesz Szőkefalvi-Nagy Functional Analysis Dover 1990}} <!--{{sfn|Riesz|Sz.-Nagy|1990|p=}}--> * {{Robertson Topological Vector Spaces}} <!--{{sfn|Robertson|Robertson|1980|p=}}--> * {{Rockafellar Wets Variational Analysis 2009 Springer}} <!--{{sfn|Rockafellar|Wets|2009|p=}}--> * {{Royden Fitzpatrick Real Analysis 4th 2010}} <!--{{sfn|Royden|Fitzpatrick|2010|p=}}--> * {{Rudin Walter Functional Analysis|edition=2}} <!--{{sfn|Rudin|1991|p=}}--> * {{Ryan Introduction to Tensor Products of Banach Spaces|edition=1}} <!--{{sfn|Ryan|2002|p=}}--> * {{Saunders The Geometry of Jet Bundles}} <!--{{sfn|Saunders|1989|p=}}--> * {{Schaefer Wolff Topological Vector Spaces|edition=2}} <!--{{sfn|Schaefer|Wolff|1999|p=}}--> * {{Schechter Handbook of Analysis and Its Foundations}} <!--{{sfn|Schechter|1996|p=}}--> * {{Schubert Topology}} <!--{{sfn|Schubert|1968|p=}}--> * {{Sharpe Differential Geometry: Cartan's Generalization of Klein's Erlangen Program}} <!--{{sfn|Sharpe|1997|p=}}--> * {{Steenrod The Topology of Fibre Bundles 1999}} <!--{{sfn|Steenrod|1999|p=}}--> * {{Swartz An Introduction to Functional Analysis}} <!--{{sfn|Swartz|1992|p=}}--> * {{Takhtajan Quantum Mechanics for Mathematicians 2008}} <!--{{sfn|Takhtajan|2008|p=}}--> * {{Trèves François Topological vector spaces, distributions and kernels}} <!--{{sfn|Trèves|2006|p=}}--> * {{Valdivia Topics in Locally Convex Spaces|edition=1}} <!--{{sfn|Valdivia|1982|p=}}--> * {{Voigt A Course on Topological Vector Spaces|edition=1}} <!--{{sfn|Voigt|2020|p=}}--> * {{Wilansky Modern Methods in Topological Vector Spaces|edition=1}} <!--{{sfn|Wilansky|2013|p=}}--> * {{Wilansky Topology for Analysis 2008}} <!--{{sfn|Wilansky|2008|p=}}--> * {{Willard General Topology}} <!--{{sfn|Willard|2004|p=}}--> * {{Willard General Topology|year=2012}} <!--{{sfn|Willard|2012|p=}}--> * {{Wong Schwartz Spaces, Nuclear Spaces, and Tensor Products}} <!--{{sfn|Wong|1979|p=}}--> * {{Zălinescu Convex Analysis in General Vector Spaces 2002}} <!--{{sfn|Zălinescu|2002|pp=}}-->

How Citation Templates appear

Adams, Robert; Fournier, John (2003). Sobolev Spaces. Pure and Applied Mathematics Series. Vol. 140 (Second ed.). Amsterdam Boston: Academic Press. ISBN 978-0-12-044143-3. OCLC 180703211. Adams, Colin; Franzosa, Robert (2009). Introduction to Topology: Pure and Applied. New Delhi: Pearson Education. ISBN 978-81-317-2692-1. OCLC 789880519. Adasch, Norbert; Ernst, Bruno; Keim, Dieter (1978). Topological Vector Spaces: The Theory Without Convexity Conditions. Lecture Notes in Mathematics. Vol. 639. Berlin New York: Springer-Verlag. ISBN 978-3-540-08662-8. OCLC 297140003. Aliprantis, Charalambos D.; Border, Kim C. (2006). Infinite Dimensional Analysis: A Hitchhiker's Guide (Third ed.). Berlin: Springer Science & Business Media. ISBN 978-3-540-29587-7. OCLC 262692874. Arkhangel'skii, Alexander Vladimirovich; Ponomarev, V.I. (1984). Fundamentals of General Topology: Problems and Exercises. Mathematics and Its Applications. Vol. 13. Dordrecht Boston: D. Reidel. ISBN 978-90-277-1355-1. OCLC 9944489. Arnold, Vladimir I. (16 May 1989) [First published in 1974]. Mathematical Methods of Classical Mechanics Математические методы классической механики. Graduate Texts in Mathematics. Vol. 60. Translated by Vogtmann, Karen; Weinstein, Alan D. (2nd ed.). New York: Springer-Verlag. ISBN 978-0-387-96890-2. OCLC 18681352. Bachman, George; Narici, Lawrence (2000). Functional Analysis (Second ed.). Mineola, New York: Dover Publications. ISBN 978-0486402512. OCLC 829157984. Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël (2011). Fourier Analysis and Nonlinear Partial Differential Equations. Grundlehren der mathematischen Wissenschaften. Vol. 343. Berlin, Heidelberg: Springer. ISBN 978-3-642-16830-7. OCLC 704397128. Banach, Stefan (1932). Théorie des Opérations Linéaires [Theory of Linear Operations] (PDF). Monografie Matematyczne (in French). Vol. 1. Warszawa: Subwencji Funduszu Kultury Narodowej. Zbl 0005.20901. Archived from the original (PDF) on 2014-01-11. Retrieved 2020-07-11. Bauschke, Heinz H.; Combettes, Patrick L. (28 February 2017). Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics. Springer Science & Business Media. ISBN 978-3-319-48311-5. OCLC 1037059594. Berberian, Sterling K. (1974). Lectures in Functional Analysis and Operator Theory. Graduate Texts in Mathematics. Vol. 15. New York: Springer. ISBN 978-0-387-90081-0. OCLC 878109401. Bessaga, Czesław M.; Pełczyński, Aleksander (1975). Selected Topics in Infinite-Dimensional Topology. Monografie matematyczne - Instytut matematyczny / Polska akademia nauk. Vol. 58. Warszawa Poland: PWN-Polish Scientific Publishers. ASIN B0006CQO8O. Bierstedt, Klaus-Dieter (1988). "An Introduction to Locally Convex Inductive Limits". Functional Analysis and Applications. Singapore-New Jersey-Hong Kong: Universitätsbibliothek: 35–133. Retrieved 20 September 2020. Bogachev, Vladimir I; Smolyanov, Oleg G. (2017). 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Retrieved November 5, 2020. Edwards, Robert E. (1995). Functional Analysis: Theory and Applications. New York: Dover Publications. ISBN 978-0-486-68143-6. OCLC 30593138. Grothendieck, Alexander (1955). "Produits Tensoriels Topologiques et Espaces Nucléaires" [Topological Tensor Products and Nuclear Spaces]. Memoirs of the American Mathematical Society Series (in French). 16. Providence: American Mathematical Society. ISBN 978-0-8218-1216-7. MR 0075539. OCLC 1315788. Grothendieck, Alexander (1954). "Sur les espaces (F) et (DF)". Summa Brasil. Math. (in French). 3: 57–123. MR 0075542. Grothendieck, Alexander (1973). Topological Vector Spaces. Translated by Chaljub, Orlando. New York: Gordon and Breach Science Publishers. ISBN 978-0-677-30020-7. OCLC 886098. Halmos, Paul R. (8 November 1982). A Hilbert Space Problem Book. Graduate Texts in Mathematics. Vol. 19 (2nd ed.). New York: Springer-Verlag. ISBN 978-0-387-90685-0. OCLC 8169781. Halmos, Paul R. (13 December 2017) [1957]. Introduction to Hilbert Space and the Theory of Spectral Multiplicity. Dover Books on Mathematics (2nd ed.). Newburyport: Dover Publications. ISBN 978-0-486-81733-0. OCLC 1013828141. Hastie, Trevor; Tibshirani, Robert; Friedman, Jerome H. (February 2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction (pdf). Graduate Texts in Statistics (2nd ed.). New York: Springer-Verlag. ISBN 978-0-387-84857-0. OCLC 405547558. Archived from the original on 20 November 2020. Retrieved 1 December 2020. Hogbe-Nlend, Henri (1977). Bornologies and Functional Analysis: Introductory Course on the Theory of Duality Topology-Bornology and its use in Functional Analysis. North-Holland Mathematics Studies. Vol. 26. Amsterdam New York New York: North Holland. ISBN 978-0-08-087137-0. MR 0500064. OCLC 316549583. Hogbe-Nlend, Henri; Moscatelli, V. B. (1981). Nuclear and Conuclear Spaces: Introductory Course on Nuclear and Conuclear Spaces in the Light of the Duality "topology-bornology". North-Holland Mathematics Studies. Vol. 52. Amsterdam New York New York: North Holland. ISBN 978-0-08-087163-9. OCLC 316564345. Horváth, John (1966). Topological Vector Spaces and Distributions. Addison-Wesley series in mathematics. Vol. 1. Reading, MA: Addison-Wesley Publishing Company. ISBN 978-0201029857. Howes, Norman R. (23 June 1995). Modern Analysis and Topology. Graduate Texts in Mathematics. New York: Springer-Verlag Science & Business Media. ISBN 978-0-387-97986-1. OCLC 31969970. OL 1272666M. Husain, Taqdir; Khaleelulla, S. M. (1978). Barrelledness in Topological and Ordered Vector Spaces. Lecture Notes in Mathematics. Vol. 692. Berlin, New York, Heidelberg: Springer-Verlag. ISBN 978-3-540-09096-0. OCLC 4493665. Ingram, W. T. (11 August 2012). An Introduction to Inverse Limits with Set-valued Functions. SpringerBriefs in Mathematics. Vol. 25. New York, NY: Science+Business Media. doi:10.1007/978-1-4614-4487-9. ISBN 978-1-4614-4486-2. ISSN 2191-8198. OCLC 807706777. Ingram, W. T.; Mahavier, William S. (2012). Inverse Limits: From Continua to Chaos. Developments in Mathematics. Vol. 25. New York, NY: Science+Business Media. doi:10.1007/978-1-4614-1797-2. ISBN 978-1-4614-1796-5. ISSN 1389-2177. OCLC 761201128. Jarchow, Hans (1981). Locally convex spaces. Stuttgart: B.G. Teubner. ISBN 978-3-519-02224-4. OCLC 8210342. Joshi, K. D. (1983). Introduction to General Topology. New York: John Wiley and Sons Ltd. ISBN 978-0-85226-444-7. OCLC 9218750. Keller, Hans (1974). Differential Calculus in Locally Convex Spaces. Lecture Notes in Mathematics. Vol. 417. Berlin New York: Springer-Verlag. ISBN 978-3-540-06962-1. OCLC 1103033. Kelley, John L. (1975). General Topology. Graduate Texts in Mathematics. Vol. 27. New York: Springer Science & Business Media. ISBN 978-0-387-90125-1. OCLC 338047. Kelley, John L.; Namioka, Isaac (1963). Linear Topological Spaces. Graduate Texts in Mathematics. Vol. 36. Berlin, Heidelberg: Springer-Verlag. ISBN 978-3-662-41768-3. OCLC 913438183. Khaleelulla, S. M. (1982). Counterexamples in Topological Vector Spaces. Lecture Notes in Mathematics. Vol. 936. Berlin, Heidelberg, New York: Springer-Verlag. ISBN 978-3-540-11565-6. OCLC 8588370. Kolmogorov, Andrey; Fomin, Sergei V. (1957). Elements of the Theory of Functions and Functional Analysis. Dover Books on Mathematics. New York: Dover Books. ISBN 978-1-61427-304-2. OCLC 912495626. Kosinski, Antoni A. (19 October 2007). Differential Manifolds. Dover Book on Mathematics (Reprint of 1993 ed.). Mineola, New York: Dover Publications. ISBN 978-0-486-46244-8. OCLC 853621933. Köthe, Gottfried (1983) [1969]. Topological Vector Spaces I. Grundlehren der mathematischen Wissenschaften. Vol. 159. Translated by Garling, D.J.H. New York: Springer Science & Business Media. ISBN 978-3-642-64988-2. MR 0248498. OCLC 840293704. Köthe, Gottfried (1979). Topological Vector Spaces II. Grundlehren der mathematischen Wissenschaften. Vol. 237. New York: Springer Science & Business Media. ISBN 978-0-387-90400-9. OCLC 180577972. Kriegl, Andreas; Michor, Peter W. (1997). The Convenient Setting of Global Analysis (PDF). Mathematical Surveys and Monographs. Vol. 53. Providence, R.I: American Mathematical Society. ISBN 978-0-8218-0780-4. OCLC 37141279. Kubrusly, Carlos S. (2011). The Elements of Operator Theory (Second ed.). Boston: Birkhäuser. ISBN 978-0-8176-4998-2. OCLC 710154895. Lang, Serge (1999). Fundamentals of Differential Geometry. Graduate Texts in Mathematics. Vol. 191. New York: Springer-Verlag. ISBN 978-0-387-98593-0. OCLC 39379395. Lang, Serge (29 April 1993). Real and Functional Analysis. Graduate Texts in Mathematics. Vol. 142 (3rd ed.). New York: Springer-Verlag. ISBN 978-0-387-94001-4. OCLC 27144188. Lax, Peter D. (2002). Functional Analysis (PDF). Pure and Applied Mathematics. New York: Wiley-Interscience. ISBN 978-0-471-55604-6. OCLC 47767143. Retrieved July 22, 2020. Lee, John M. (2012). Introduction to Smooth Manifolds. Graduate Texts in Mathematics. Vol. 218 (Second ed.). New York London: Springer-Verlag. ISBN 978-1-4419-9981-8. OCLC 808682771. Lee, John M. (1997). Riemannian Manifolds: An Introduction to Curvature. Graduate Texts in Mathematics. Vol. 176. New York: Springer-Verlag. ISBN 978-0-387-98322-6. OCLC 54850593. Malkowsky, Eberhard; Rakočević, Vladimir (2020). Advanced Functional Analysis. Dover Books on Mathematics. New York: Taylor & Francis Limited. ISBN 978-0-367-65656-0. OCLC 1178637892. McKennon, Kelly; Robertson, Jack M. (1976). Locally Convex Spaces. Lecture notes in pure and applied mathematics. Vol. 15. New York: Marcel Dekker Inc. ISBN 978-0-8247-6426-5. OCLC 2100718. Munkres, James R. (2000). Topology (Second ed.). Upper Saddle River, NJ: Prentice Hall, Inc. ISBN 978-0-13-181629-9. OCLC 42683260. Narici, Lawrence; Beckenstein, Edward (2011). Topological Vector Spaces. Pure and applied mathematics (Second ed.). Boca Raton, FL: CRC Press. ISBN 978-1584888666. OCLC 144216834. Nestruev, Jet (10 September 2020). Smooth Manifolds and Observables. Graduate Texts in Mathematics. Vol. 220. Cham, Switzerland: Springer Nature. ISBN 978-3-030-45649-8. OCLC 1195920718. Osborne, Mason Scott (2013). Locally Convex Spaces. Graduate Texts in Mathematics. Vol. 269. Cham Heidelberg New York Dordrecht London: Springer Science & Business Media. ISBN 978-3-319-02045-7. OCLC 865578438. Pietsch, Albrecht (1979). Nuclear Locally Convex Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete. Vol. 66 (Second ed.). Berlin, New York: Springer-Verlag. ISBN 978-0-387-05644-9. OCLC 539541. Riesz, Frederic; Sz.-Nagy, Béla (1990) [1955]. Functional Analysis. Translated by Boron, Leo F. New York: Dover Publications. ISBN 0-486-66289-6. OCLC 21228994. Robertson, Alex P.; Robertson, Wendy J. (1980). Topological Vector Spaces. Cambridge Tracts in Mathematics. Vol. 53. Cambridge England: Cambridge University Press. ISBN 978-0-521-29882-7. OCLC 589250. Rockafellar, R. Tyrrell; Wets, Roger J.-B. (26 June 2009). Variational Analysis. Grundlehren der mathematischen Wissenschaften. Vol. 317. Berlin New York: Springer Science & Business Media. ISBN 9783642024313. OCLC 883392544. Royden, Halsey; Fitzpatrick, Patrick (15 January 2010). Real Analysis (4 ed.). Boston: Prentice Hall. ISBN 978-0-13-143747-0. OCLC 456836719. Rudin, Walter (1991). Functional Analysis. International Series in Pure and Applied Mathematics. Vol. 8 (Second ed.). New York, NY: McGraw-Hill Science/Engineering/Math. ISBN 978-0-07-054236-5. OCLC 21163277. Ryan, Raymond A. (2002). Introduction to Tensor Products of Banach Spaces. Springer Monographs in Mathematics. London New York: Springer. ISBN 978-1-85233-437-6. OCLC 48092184. Saunders, David J. (1989). The Geometry of Jet Bundles. London Mathematical Society Lecture Note Series. Vol. 142. Cambridge New York: Cambridge University Press. ISBN 978-0-521-36948-0. OCLC 839304386. Schaefer, Helmut H.; Wolff, Manfred P. (1999). Topological Vector Spaces. GTM. Vol. 8 (Second ed.). New York, NY: Springer New York Imprint Springer. ISBN 978-1-4612-7155-0. OCLC 840278135. Schechter, Eric (1996). Handbook of Analysis and Its Foundations. San Diego, CA: Academic Press. ISBN 978-0-12-622760-4. OCLC 175294365. Schubert, Horst (1968). Topology. London: Macdonald & Co. ISBN 978-0-356-02077-8. OCLC 463753. Sharpe, Richard W. (1997). Differential Geometry: Cartan's Generalization of Klein's Erlangen Program. Graduate Texts in Mathematics. Vol. 166. New York: Springer-Verlag. ISBN 978-0-387-94732-7. OCLC 34356972. Swartz, Charles (1992). An introduction to Functional Analysis. New York: M. Dekker. ISBN 978-0-8247-8643-4. OCLC 24909067. Steenrod, Norman (5 April 1999). The Topology of Fibre Bundles. Princeton Mathematical Series. Vol. 14. Princeton, N.J.: Princeton University Press. ISBN 978-0-691-00548-5. OCLC 40734875. Takhtajan, Leon A. (15 August 2008). Quantum Mechanics for Mathematicians. Graduate Studies in Mathematics. Vol. 95. Providence, Rhode Island: American Mathematical Society. ISBN 978-0-8218-4630-8. MR 2433906. OCLC 213765946. Trèves, François (2006) [1967]. Topological Vector Spaces, Distributions and Kernels. Mineola, N.Y.: Dover Publications. ISBN 978-0-486-45352-1. OCLC 853623322. Valdivia, Manuel (1982). Nachbin, Leopoldo (ed.). Topics in Locally Convex Spaces. Vol. 67. Amsterdam New York, N.Y.: Elsevier Science Pub. Co. ISBN 978-0-08-087178-3. OCLC 316568534. Voigt, Jürgen (2020). A Course on Topological Vector Spaces. Compact Textbooks in Mathematics. Cham: Birkhäuser Basel. ISBN 978-3-030-32945-7. OCLC 1145563701. Wilansky, Albert (2013). Modern Methods in Topological Vector Spaces. Mineola, New York: Dover Publications, Inc. ISBN 978-0-486-49353-4. OCLC 849801114. Wilansky, Albert (17 October 2008) [1970]. Topology for Analysis. Mineola, New York: Dover Publications, Inc. ISBN 978-0-486-46903-4. OCLC 227923899. Willard, Stephen (2004) [1970]. General Topology. Mineola, N.Y.: Dover Publications. ISBN 978-0-486-43479-7. OCLC 115240. > Willard, Stephen (2012) [1970]. General Topology. Mineola, N.Y.: Courier Dover Publications. ISBN 9780486131788. OCLC 829161886. Wong, Yau-Chuen (1979). Schwartz Spaces, Nuclear Spaces, and Tensor Products. Lecture Notes in Mathematics. Vol. 726. Berlin New York: Springer-Verlag. ISBN 978-3-540-09513-2. OCLC 5126158. Zălinescu, Constantin (30 July 2002). Convex Analysis in General Vector Spaces. River Edge, N.J. London: World Scientific Publishing. ISBN 978-981-4488-15-0. MR 1921556. OCLC 285163112 – via Internet Archive.

By subject

TVSs/Analysis

Topological Vector Space refs

* {{Adasch Topological Vector Spaces|edition=2}} <!--{{sfn|Adasch|Ernst|Keim|1978|p=}}--> * {{Bauschke Combettes Convex Analysis and Monotone Operator Theory in Hilbert Spaces 2nd ed 2017}} <!--{{sfn|Bauschke|Combettes|2017|pp=}}--> * {{Berberian Lectures in Functional Analysis and Operator Theory}} <!--{{sfn|Berberian|1974|p=}}--> * {{Bessaga Pełczyński Selected Topics in Infinite-Dimensional Topology}} <!--{{sfn|Bessaga|Pełczyński|1975|p=}}--> * {{Bierstedt An Introduction to Locally Convex Inductive Limits}} <!--{{sfn|Bierstedt|1988|p=}}--> * {{Bogachev Smolyanov Topological Vector Spaces and Their Applications}} <!--{{sfn|Bogachev|Smolyanov|2017|p=}}--> * {{Bourbaki Topological Vector Spaces Part 1 Chapters 1–5}} <!--{{sfn|Bourbaki|1987|p=}}--> * {{Colombeau Differential Calculus and Holomorphy}} <!--{{sfn|Colombeau|1982|p=}}--> * {{Conway A Course in Functional Analysis|edition=2}} <!--{{sfn|Conway|1990|p=}}--> * {{Diestel The Metric Theory of Tensor Products Grothendieck's Résumé Revisited}} <!--{{sfn|Diestel|2008|p=}}--> * {{Dineen Complex Analysis in Locally Convex Spaces}} <!--{{sfn|Dineen|1981|p=}}--> * {{Dubinsky The Structure of Nuclear Fréchet Spaces}} <!--{{sfn|Dubinsky|1979|p=}}--> * {{Dunford Schwartz Linear Operators Part 1 General Theory}} <!--{{sfn|Dunford|1988|p=}}--> * {{Edwards Functional Analysis Theory and Applications}} <!--{{sfn|Edwards|1995|p=}}--> * {{Grothendieck Produits Tensoriels Topologiques et Espaces Nucléaires}} <!--{{sfn|Grothendieck|1955|p=}}--> * {{Grothendieck Topological Vector Spaces}} <!--{{sfn|Grothendieck|1973|p=}}--> * {{Hogbe-Nlend Bornologies and Functional Analysis}} <!--{{sfn|Hogbe-Nlend|1977|p=}}--> * {{Hogbe-Nlend Moscatelli Nuclear and Conuclear Spaces}} <!--{{sfn|Hogbe-Nlend|Moscatelli|1981|p=}}--> * {{Horváth Topological Vector Spaces and Distributions Volume 1 1966}} <!--{{sfn|Horváth|1966|p=}}--> * {{Howes Modern Analysis and Topology 1995}} <!--{{sfn|Howes|1995|p=}}--> * {{Husain Khaleelulla Barrelledness in Topological and Ordered Vector Spaces}} <!--{{sfn|Husain|Khaleelulla|1978|p=}}--> * {{Jarchow Locally Convex Spaces}} <!--{{sfn|Jarchow|1981|p=}}--> * {{Keller Differential Calculus in Locally Convex Spaces}} <!--{{sfn|Keller|1974|p=}}--> * {{Kelley Namioka Linear Topological Spaces 1963}} <!--{{sfn|Kelley|Namioka|1963|p=}}--> * {{Khaleelulla Counterexamples in Topological Vector Spaces}} <!--{{sfn|Khaleelulla|1982|p=}}--> * {{Kolmogorov Fomin Elements of the Theory of Functions and Functional Analysis}} <!--{{sfn|Kolmogorov|Fomin|1957|p=}}--> * {{Köthe Topological Vector Spaces I}} <!--{{sfn|Köthe|1969|p=}}--> * {{Köthe Topological Vector Spaces II}} <!--{{sfn|Köthe|1979|p=}}--> * {{Kriegl Michor The Convenient Setting of Global Analysis}} <!--{{sfn|Kriegl|Michor|1997|p=}}--> * {{Lax Functional Analysis}} <!--{{sfn|Lax|2002|p=}}--> * {{Malkowsky Rakočević Advanced Functional Analysis|edition=1}} <!--{{sfn|Malkowsky|Rakočević|2020|p=}}--> * {{McKennon Robertson Locally Convex Spaces}} <!--{{sfn|McKennon|Robertson|1976|p=}}--> * {{Osborne Locally Convex Spaces}} <!--{{sfn|Osborne|2013|p=}}--> * {{Pietsch Nuclear Locally Convex Spaces|edition=2}} <!--{{sfn|Pietsch|1979|p=}}--> * {{Narici Beckenstein Topological Vector Spaces|edition=2}} <!--{{sfn|Narici|Beckenstein|2011|p=}}--> * {{Robertson Topological Vector Spaces}} <!--{{sfn|Robertson|Robertson|1980|p=}}--> * {{Rudin Walter Functional Analysis|edition=2}} <!--{{sfn|Rudin|1991|p=}}--> * {{Ryan Introduction to Tensor Products of Banach Spaces|edition=1}} <!--{{sfn|Ryan|2002|p=}}--> * {{Schaefer Wolff Topological Vector Spaces|edition=2}} <!--{{sfn|Schaefer|Wolff|1999|p=}}--> * {{Schechter Handbook of Analysis and Its Foundations}} <!--{{sfn|Schechter|1996|p=}}--> * {{Swartz An Introduction to Functional Analysis}} <!--{{sfn|Swartz|1992|p=}}--> * {{Trèves François Topological vector spaces, distributions and kernels}} <!--{{sfn|Trèves|2006|p=}}--> * {{Valdivia Topics in Locally Convex Spaces|edition=1}} <!--{{sfn|Valdivia|1982|p=}}--> * {{Voigt A Course on Topological Vector Spaces|edition=1}} <!--{{sfn|Voigt|2020|p=}}--> * {{Wilansky Modern Methods in Topological Vector Spaces|edition=1}} <!--{{sfn|Wilansky|2013|p=}}--> * {{Wong Schwartz Spaces, Nuclear Spaces, and Tensor Products}} <!--{{sfn|Wong|1979|p=}}--> * {{Zălinescu Convex Analysis in General Vector Spaces 2002}} <!--{{sfn|Zălinescu|2002|pp=}}-->

Banach/Hilbert spaces, Analysis, Spectral theorey, etc.

* {{Aliprantis Border Infinite Dimensional Analysis A Hitchhiker's Guide Third Edition}} <!--{{sfn|Aliprantis|Border|2006|p=}}--> * {{Bachman Narici Functional Analysis 2nd Edition}} <!--{{sfn|Bachman|Narici|2000|p=}}--> * {{Bahouri Chemin Danchin Fourier Analysis and Nonlinear Partial Differential Equations 2011}} <!--{{sfn|Bahouri|Chemin|Danchin|2011|p=}}--> * {{Banach Théorie des Opérations Linéaires}} <!--{{sfn|Banach|1932|p=}}--> * {{Conway A Course in Functional Analysis|edition=2}} <!--{{sfn|Conway|1990|p=}}--> * {{Halmos A Hilbert Space Problem Book 1982}} <!--{{sfn|Halmos|1982|pp=}}--> * {{Hastie Tibshirani Friedman The Elements of Statistical Learning 2009}} <!--{{sfn|Halmos|2017|pp=}}--> * {{Kolmogorov Fomin Elements of the Theory of Functions and Functional Analysis}} <!--{{sfn|Kolmogorov|Fomin|1957|p=}}--> * {{Kubrusly The Elements of Operator Theory 2nd Edition 2011}} <!--{{sfn|Kubrusly|2011|p=}}--> * {{Lang Real and Functional Analysis 1993}} <!--{{sfn|Lang|1993|p=}}--> * {{Lax Functional Analysis}} <!--{{sfn|Lax|2002|p=}}--> * {{Riesz Szőkefalvi-Nagy Functional Analysis Dover 1990}} <!--{{sfn|Riesz|Sz.-Nagy|1990|p=}}--> * {{Ryan Introduction to Tensor Products of Banach Spaces|edition=1}} <!--{{sfn|Ryan|2002|p=}}-->

Topology/Geometry

General Topology refs

* {{Adams Franzosa Introduction to Topology Pure and Applied}} <!--{{sfn|Adams|Franzosa|2009|p=}}--> * {{Arkhangel'skii Ponomarev Fundamentals of General Topology Problems and Exercises|edition=2}} <!--{{sfn|Arkhangelʹskiĭ|Ponomarev|1984|p=}}--> * {{Bourbaki General Topology Part I Chapters 1-4}} <!--{{sfn|Bourbaki|1989|p=}}--> * {{Bourbaki General Topology Part II Chapters 5-10}} <!--{{sfn|Bourbaki|1989|p=}}--> * {{Comfort Negrepontis The Theory of Ultrafilters 1974}} <!--{{sfn|Comfort|Negrepontis|1974|p=}}--> * {{Dixmier General Topology}} <!--{{sfn|Dixmier|1984|p=}}--> * {{Császár General Topology}} <!--{{sfn|Császár|1978|p=}}--> * {{Dolecki Mynard Convergence Foundations Of Topology}} <!--{{sfn|Dolecki|Mynard|2016|p=}}--> * {{Dugundji Topology}} <!--{{sfn|Dugundji|1966|p=}}--> * {{Howes Modern Analysis and Topology 1995}} <!--{{sfn|Howes|1995|p=}}--> * {{Joshi Introduction to General Topology}} <!--{{sfn|Joshi|1983|p=}}--> * {{Kelley General Topology}} <!--{{sfn|Kelley|1975|p=}}--> * {{Munkres Topology|edition=2}} <!--{{sfn|Munkres|2000|p=}}--> * {{Schechter Handbook of Analysis and Its Foundations}} <!--{{sfn|Schechter|1996|p=}}--> * {{Schubert Topology}} <!--{{sfn|Schubert|1968|p=}}--> * {{Wilansky Topology for Analysis 2008}} <!--{{sfn|Wilansky|2008|p=}}--> * {{Willard General Topology}} <!--{{sfn|Willard|2004|p=}}--> * {{Willard General Topology|year=2012}} <!--{{sfn|Willard|2012|p=}}--> Sequence related Papers/articles/books Arkhangel'skii, A.V. and Pontryagin, L.S., General Topology I, Springer-Verlag, New York (1990) ISBN 3-540-18178-4. Arkhangel'skii, A V (1966). "Mappings and spaces" (PDF). Russian Mathematical Surveys. 21 (4): 115–162. doi:10.1070/RM1966v021n04ABEH004169. ISSN 0036-0279. Retrieved 10 February 2021. Akiz, Hürmet Fulya; Koçak, Lokman (2019). "Sequentially Hausdorff and full sequentially Hausdorff spaces". Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics. 68 (2): 1724–1732. doi:10.31801/cfsuasmas.424418. ISSN 1303-5991. Retrieved 10 February 2021. Boone, James (1973). "A note on mesocompact and sequentially mesocompact spaces". Pacific Journal of Mathematics. 44 (1): 69–74. doi:10.2140/pjm.1973.44.69. ISSN 0030-8730. Booth, Peter; Tillotson, J. (1980). "Monoidal closed, Cartesian closed and convenient categories of topological spaces". Pacific Journal of Mathematics. 88 (1): 35–53. doi:10.2140/pjm.1980.88.35. ISSN 0030-8730. Retrieved 10 February 2021. Brown, Ronald (1974). "On Sequentially Proper Maps and a Sequential Compactification" (PDF). Journal of the London Mathematical Society. s2-7 (3): 515–522. doi:10.1112/jlms/s2-7.3.515. ISSN 0024-6107. Retrieved 10 February 2021. Çakallı, Hüseyin (2012). "Sequential definitions of connectedness". Applied Mathematics Letters. 25 (3): 461–465. doi:10.1016/j.aml.2011.09.036. ISSN 0893-9659. Connor, Jeff; Grosse-Erdmann, K.-G. (2003). "Sequential Definitions of Continuity for Real Functions". Rocky Mountain Journal of Mathematics. 33 (1): 93–121. doi:10.1216/rmjm/1181069988. ISSN 0035-7596. Retrieved 10 February 2021. Engelking, R., General Topology, Heldermann, Berlin (1989). Revised and completed edition. Foged, L. (1985). "A characterization of closed images of metric spaces". Proceedings of the American Mathematical Society. 95 (3): 487–487. doi:10.1090/S0002-9939-1985-0806093-3. ISSN 0002-9939. Franklin, S. (1965). "Spaces in which sequences suffice" (PDF). Fundamenta Mathematicae. 57 (1): 107–115. doi:10.4064/fm-57-1-107-115. ISSN 0016-2736. Franklin, S. (1967). "Spaces in which sequences suffice II" (PDF). Fundamenta Mathematicae. 61 (1): 51–56. doi:10.4064/fm-61-1-51-56. ISSN 0016-2736. Retrieved 10 February 2021. Goreham, Anthony, "Sequential Convergence in Topological Spaces", (2016) Gruenhage, Gary; Michael, Ernest; Tanaka, Yoshio (1984). "Spaces determined by point-countable covers". Pacific Journal of Mathematics. 113 (2): 303–332. doi:10.2140/pjm.1984.113.303. ISSN 0030-8730. Michael, E.A. (1972). "A quintuple quotient quest". General Topology and its Applications. 2 (2): 91–138. doi:10.1016/0016-660X(72)90040-2. ISSN 0016-660X. Shou, Lin; Chuan, Liu; Mumin, Dai (1997). "Images on locally separable metric spaces". Acta Mathematica Sinica. 13 (1): 1–8. doi:10.1007/BF02560519. ISSN 1439-8516. Steenrod, N. E. (1967). "A convenient category of topological spaces". The Michigan Mathematical Journal. 14 (2): 133–152. doi:10.1307/mmj/1028999711. Retrieved 10 February 2021. Trèves, François (2006) [1967]. Topological Vector Spaces, Distributions and Kernels. Mineola, N.Y.: Dover Publications. ISBN 978-0-486-45352-1. OCLC 853623322. Wilansky, Albert (2013). Modern Methods in Topological Vector Spaces. Mineola, New York: Dover Publications, Inc. ISBN 978-0-486-49353-4. OCLC 849801114.

Differential Geometry refs

* {{Kosinski Differential Manifolds 2007}} <!--{{sfn|Kosinski|2007|p=}}--> * {{Lang Fundamentals of Differential Geometry}} <!--{{sfn|Lang|1999|p=}}--> * {{Lee Introduction to Smooth Manifolds|edition=2}} <!--{{sfn|Lee|2012|p=}}--> * {{Lee Riemannian Manifolds An Introduction to Curvature|edition=1}} <!--{{sfn|Lee|1997|p=}}--> * {{Nestruev Smooth Manifolds and Observables 2020}} <!--{{sfn|Nestruev|2020|p=}}--> * {{Saunders The Geometry of Jet Bundles}} <!--{{sfn|Saunders|1989|p=}}--> * {{Sharpe Differential Geometry: Cartan's Generalization of Klein's Erlangen Program}} <!--{{sfn|Sharpe|1997|p=}}--> * {{Steenrod The Topology of Fibre Bundles 1999}} <!--{{sfn|Steenrod|1999|p=}}-->

Stats/Probability

Statistical Learning/Probability refs
* {{Durrett Probability Theory and Examples 5th Edition}} <!--{{sfn|Durrett|2019|p=}}--> * {{Hastie Tibshirani Friedman The Elements of Statistical Learning 2009}} <!--{{sfn|Hastie|Tibshirani|Friedman|2009|pp=}}-->

Applied

Physics refs
* {{Arnold Mathematical Methods of Classical Mechanics 1989}} <!--{{sfn|Arnold|1989|p=}}--> * {{Takhtajan Quantum Mechanics for Mathematicians 2008}} <!--{{sfn|Takhtajan|2008|p=}}-->

Citations for Grothendieck, Schaefer, etc.

Grothendieck - Topological Vector Spaces citations

Citation Chapter Section Name {{sfn|Grothendieck|1973|pp=1-13}} 0 Topological introduction {{sfn|Grothendieck|1973|pp=1-2}} 1 Least upper bound of a family of topologies {{sfn|Grothendieck|1973|pp=2-3}} 2 Least upper bound of a family of uniform structures {{sfn|Grothendieck|1973|pp=4-4}} 3 Precompact spaces {{sfn|Grothendieck|1973|pp=4-7}} 4 𝒢-Convergence {{sfn|Grothendieck|1973|pp=8-8}} 5 𝒢-Convergence in the spaces of continuous mappings {{sfn|Grothendieck|1973|pp=8-12}} 6 Equicontinuous and uniformly equicontinuous sets {{sfn|Grothendieck|1973|pp=12-13}} 7 Relatively compact and precompact sets of continuous functions {{sfn|Grothendieck|1973|pp=14-45}} 1 General properties {{sfn|Grothendieck|1973|pp=14-15}} 1 General definition of a topological vector {{sfn|Grothendieck|1973|pp=15-16}} 2 Products, subspaces, quotients {{sfn|Grothendieck|1973|pp=16-17}} 3 Continuous linear mappings, homomorphisms {{sfn|Grothendieck|1973|pp=17-18}} 4 Uniform structure of a TVS {{sfn|Grothendieck|1973|pp=18-22}} 5 Topology defined by a semi-norm {{sfn|Grothendieck|1973|pp=22-23}} 6 Generalities concerning spaces defined by families of semi-norms {{sfn|Grothendieck|1973|pp=23-25}} 7 Bounded sets: general {{sfn|Grothendieck|1973|pp=25-27}} 8 Bounded sets: their use for 𝒢-convergences {{sfn|Grothendieck|1973|pp=27-31}} 9 Examples of TVS: spaces of continuous functions {{sfn|Grothendieck|1973|pp=31-33}} 10 Other examples: the spaces ℰ(m) and ℰ of L. Schwartz {{sfn|Grothendieck|1973|pp=34-36}} 11 Topological direct sums {{sfn|Grothendieck|1973|pp=37-38}} 12 Vector subspaces of finite dimension or codimension {{sfn|Grothendieck|1973|pp=38-39}} 13 Locally precompact TVS {{sfn|Grothendieck|1973|pp=39-42}} 14 Theorem of homomorphisms, closed graph {{sfn|Grothendieck|1973|pp=42-45}} 15 The Banach-Steinhaus theorem {{sfn|Grothendieck|1973|pp=46-98}} 2 The general duality theorems on locally convex spaces {{sfn|Grothendieck|1973|p=46}} 1 Introduction {{sfn|Grothendieck|1973|pp=47-49}} 2 Convex sets, disked sets {{sfn|Grothendieck|1973|pp=49-50}} 3 Convex cones and ordered vector spaces {{sfn|Grothendieck|1973|pp=50-51}} 4 Correspondence between semi-norms and absorbing disks. Characterization of locally convex spaces {{sfn|Grothendieck|1973|pp=52-53}} 5 Convex sets in TVS {{sfn|Grothendieck|1973|pp=53-56}} 6 The Hahn-Banach theorem {{sfn|Grothendieck|1973|pp=56-58}} 7 Separation of convex sets. Characterization of the closure of a convex set {{sfn|Grothendieck|1973|pp=58-61}} 8 Dual system, weak topology {{sfn|Grothendieck|1973|pp=61-64}} 9 Polarity {{sfn|Grothendieck|1973|pp=64-66}} 10 The 𝒢-topologies on a dual {{sfn|Grothendieck|1973|pp=66-68}} 11 The LCTVS as duals having 𝒢-topologies {{sfn|Grothendieck|1973|pp=68-70}} 12 Mackey's theorem: general formulation. Bidual of an LCTVS {{sfn|Grothendieck|1973|pp=70-73}} 13 Topologies compatible with a duality, The Mackey topology {{sfn|Grothendieck|1973|pp=73-75}} 14 The completion of an LCTVS {{sfn|Grothendieck|1973|pp=76-80}} 15 Duality for subspaces, quotients, products, projective limits {{sfn|Grothendieck|1973|pp=80-86}} 16 The transpose of a linear mapping; characterization of homomorphisms {{sfn|Grothendieck|1973|pp=86-89}} 17 Summary and complementary results for normed spaces {{sfn|Grothendieck|1973|pp=89-98}} 18 Elementary properties of compactness and weak compactness {{sfn|Grothendieck|1973|pp=99-136}} 3 Spaces of linear mappings {{sfn|Grothendieck|1973|pp=99-101}} 1 Generalities on the spaces of linear mappings {{sfn|Grothendieck|1973|pp=102-106}} 2 Bounded sets in the spaces of linear {{sfn|Grothendieck|1973|pp=106-110}} 3 Relationship between bounded sets and equicontinuous sets. Barrelled spaces {{sfn|Grothendieck|1973|pp=110-114}} 4 Bornological spaces {{sfn|Grothendieck|1973|pp=114-122}} 5 Bilinear functions: Types of continuity. Continuity and separate continuity {{sfn|Grothendieck|1973|pp=122-126}} 6 Spaces of bilinear mappings. Definitions and notations {{sfn|Grothendieck|1973|pp=126-131}} 7 Linear mappings from an LCTVS into certain function spaces. Mappings into a space of continuous functions {{sfn|Grothendieck|1973|pp=131-135}} 8 Differentiable vectorial functions {{sfn|Grothendieck|1973|pp=136-185}} 4 Study of some special classes of spaces {{sfn|Grothendieck|1973|pp=136-154}} 1 Part 1 Inductive limits, (LF) spaces {{sfn|Grothendieck|1973|pp=136-138}} 1.1 Generalities {{sfn|Grothendieck|1973|pp=139-140}} 1.2 Examples {{sfn|Grothendieck|1973|pp=140-142}} 1.3 Strict inductive limits {{sfn|Grothendieck|1973|pp=142-146}} 1.4 Direct sums {{sfn|Grothendieck|1973|pp=146-150}} 1.5 (LF) spaces {{sfn|Grothendieck|1973|pp=150-154}} 1.6 Products and direct sums of lines {{sfn|Grothendieck|1973|pp=154-164}} 2 Part 2 Metrisable LCTVS {{sfn|Grothendieck|1973|pp=154-156}} 2.1 Preliminaries {{sfn|Grothendieck|1973|pp=156-158}} 2.2 Bounded subbsets of metrisable LCTVS {{sfn|Grothendieck|1973|pp=158-164}} 2.3 Tc Topology on the Dual {{sfn|Grothendieck|1973|pp=164-176}} 3 Part 3 (DF) spaces {{sfn|Grothendieck|1973|pp=164-167}} 3.1 Generalities {{sfn|Grothendieck|1973|pp=167-169}} 3.2 Bilinear mappings on the product of two (DF) spaces {{sfn|Grothendieck|1973|pp=170-173}} 3.3 Stability properties {{sfn|Grothendieck|1973|pp=173-176}} 3.4 Complementary results {{sfn|Grothendieck|1973|pp=176-185}} 4 Part 4 Quasi-normable spaces and Schwartz spaces {{sfn|Grothendieck|1973|pp=176-178}} 4.1 Definition of quasi-normable spaces {{sfn|Grothendieck|1973|pp=178-179}} 4.2 Listing of strongly convergent sequences of linear forms on a subspace {{sfn|Grothendieck|1973|pp=179-182}} 4.3 Quasi-normability and compactness {{sfn|Grothendieck|1973|pp=182-185}} 4.4 Schwartz spaces {{sfn|Grothendieck|1973|pp=186-245}} 5 Compactness in locally convex LCTVSs {{sfn|Grothendieck|1973|pp=186-192}} 1 Part 1 The Krein-Milman theorem {{sfn|Grothendieck|1973|pp=186-188}} 1.1 Extreme points {{sfn|Grothendieck|1973|pp=188-192}} 1.2 Extreme generators {{sfn|Grothendieck|1973|pp=193-205}} 2 Part 2 Theory of compact operators {{sfn|Grothendieck|1973|pp=193-193}} 2.1 Generalities {{sfn|Grothendieck|1973|pp=193-196}} 2.2 General theorems for finite dimension {{sfn|Grothendieck|1973|pp=196-201}} 2.3 Generalities of the spectrum of an operator {{sfn|Grothendieck|1973|pp=201-205}} 2.4 The Riesz theory of compact operators {{sfn|Grothendieck|1973|pp=206-216}} 3 Part 3 General criteria compactness {{sfn|Grothendieck|1973|pp=206-207}} 3.1 Smulian's theorem {{sfn|Grothendieck|1973|pp=207-211}} 3.2 Eberlein's theorem {{sfn|Grothendieck|1973|pp=211-213}} 3.3 Krein's theorem {{sfn|Grothendieck|1973|pp=213-216}} 3.4 Supplementary exercises {{sfn|Grothendieck|1973|pp=216-245}} 4 Part 4 Weak compactness in <1 {{sfn|Grothendieck|1973|pp=216-231}} 4.1 The Dunford-Pettis criterion and its first consequences {{sfn|Grothendieck|1973|pp=231-240}} 4.2 Applications of the Dunford-Pettis criterion {{sfn|Grothendieck|1973|pp=240-245}} 4.3 Supplementary exercises

References, Citations, Notes

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Markup	Renders as
The Sun<ref group=note name=SunNote/> and Moon<ref group=note name=MoonNote/><ref name=Foot01/> are big.<ref group=note name=BigNote/><ref name=Foot02/><ref group=proof name=ProofThat/> ==Notes== {{reflist|group=note|refs= <ref name=SunNote>Sun > Moon.</ref> <ref name=MoonNote>Moon < Earth.</ref> <ref name=BigNote>See {{cite book|author=Peterson|title=Astronomy|year=2005}}</ref> }} '''Proofs''' {{reflist|group=proof|refs= <ref name=ProofThat> as desired. <math>\blacksquare</math></ref> }} ==Citations== {{reflist|refs= <ref name=Foot01>{{harvnb|Miller|2005|page=23}}</ref> <ref name=Foot02>{{harvnb|Brown|2001|p=46}}</ref> }} ==References== {{refbegin}} * {{cite book|author=Brown|title=The Moon|year=2001|publisher=Penguin}} * {{cite book|author=Miller|title=The Sun|publisher=Oxford|year=2005}} {{refend}}	The Sun and Moon are big. Notes Proofs Citations References Brown (2001). The Moon. Penguin. Miller (2005). The Sun. Oxford.

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==References with indentation== {{refbegin|26em|indent=yes}} * {{cite book|last=Brown|first=Adam|title=The Moon|year=2001|publisher=Penguin|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Brown|first=Adam|author-mask=3|title=Luna|year=2001|publisher=Penguin|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Miller|first=Bob|title=The Sun|year=2005|publisher=Oxford|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Patterson|first=Conner|title=The Earth|year=2006|publisher=Oxford|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Samuel|first=David|title=Mercury|year=2006|publisher=The Mercurian Times|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Samuel|first=David|author-mask=3|title=The Morning Star|year=2006|publisher=The Mercurian Times|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Teller|first=Emily|title=Venus|year=2006|publisher=The Venusian Times|location=Berlin|isbn=978-3-540-08662-8}} * {{cite book|last=Turning|first=Francis|title=Mars|year=2006|publisher=The Martian Times|location=Mars|isbn=978-3-540-08662-8}} * {{cite book|last=Turning|first=Francis|author-mask=3|title=Jupiter|year=2006|publisher=The Jovian Times|location=Jupiter|isbn=978-3-540-08662-8}} * {{cite book|last=Turning|first=Francis|author-mask=3|title=Saturn|year=2006|publisher=The Saturnian Times|location=Saturn|isbn=978-3-540-08662-8}} {{refend}}

References with indentation

• Brown, Adam (2001). The Moon. Berlin: Penguin. ISBN 978-3-540-08662-8.
• ——— (2001). Luna. Berlin: Penguin. ISBN 978-3-540-08662-8.
• Miller, Bob (2005). The Sun. Berlin: Oxford. ISBN 978-3-540-08662-8.
• Patterson, Conner (2006). The Earth. Berlin: Oxford. ISBN 978-3-540-08662-8.
• Samuel, David (2006). Mercury. Berlin: The Mercurian Times. ISBN 978-3-540-08662-8.
• ——— (2006). The Morning Star. Berlin: The Mercurian Times. ISBN 978-3-540-08662-8.
• Teller, Emily (2006). Venus. Berlin: The Venusian Times. ISBN 978-3-540-08662-8.
• Turning, Francis (2006). Mars. Mars: The Martian Times. ISBN 978-3-540-08662-8.
• ——— (2006). Jupiter. Jupiter: The Jovian Times. ISBN 978-3-540-08662-8.
• ——— (2006). Saturn. Saturn: The Saturnian Times. ISBN 978-3-540-08662-8.

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