Themistocles M. Rassias

Themistocles M. Rassias (Greek: Θεμιστοκλής Μ. Ρασσιάς; born April 2, 1951) is a Greek mathematician, and a Professor at the National Technical University of Athens (Eθνικό Μετσόβιο Πολυτεχνείο), Greece. He has published more than 300 papers, 10 research books and 45 edited volumes in research Mathematics as well as 4 textbooks in Mathematics (in Greek) for university students. His research work has received more than 17,000 citations according to Google Scholar[5] and more than 5,000 citations according to MathSciNet.[6] His h-index is 47. He serves as a member of the Editorial Board of several international mathematical journals.

Themistocles M. Rassias
ThMRassias.JPG
Rassias around 2005
Born (1951-04-02) April 2, 1951 (age 70)
NationalityGreek
Alma materUniversity of California, Berkeley (Ph.D.)
Known forHyers–Ulam–Rassias stability[1][2]
Aleksandrov–Rassias problem[3]Cauchy–Rassias stability
AwardsDoctor Honoris Causa, University of Alba Iulia, Romania (2008)

Honorary Doctorate, University of Nis,[4] Serbia (2010)

Doctor Honoris Causa, Valahia University of Targoviste, Romania (2016)
Scientific career
FieldsMathematics
InstitutionsNational Technical University of Athens
Doctoral advisorStephen Smale
InfluencesStephen Smale,
Stanislaw Ulam
Websitehttp://www.math.ntua.gr/~trassias/

EducationEdit

He received his Ph.D. in Mathematics from the University of California at Berkeley in June 1976. Professor Stephen Smale and Professor Shiing-Shen Chern have been his thesis and academic advisors, respectively.

ResearchEdit

His work extends over several fields of Mathematical Analysis. It includes Nonlinear Functional Analysis, Functional Equations, Approximation Theory, Analysis on Manifolds, Calculus of Variations, Inequalities, Metric Geometry and their Applications.

He has contributed a number of results in the stability of minimal submanifolds, in the solution of Ulam's Problem for approximate homomorphisms in Banach spaces, in the theory of isometric mappings in metric spaces and in Complex analysis (Poincaré's inequality and harmonic mappings).

TerminologyEdit

(i) Hyers–Ulam–Rassias stability of functional equations.

(ii) The Aleksandrov–Rassias problem[3] for isometric mappings.[7]

Awards and honorsEdit

He has received a number of honors and awards including:

WorksEdit

  • Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proceedings of the American Mathematical Society 72(1978), 297-300. [Translated in Chinese and published in: Mathematical Advance in Translation, Chinese Academy of Sciences 4 (2009), 382-384.]
  • Th. M. Rassias, New characterizations of inner product spaces, Bulletin des Sciences Mathematiques, 108 (1984), 95-99.
  • Th. M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Applicandae Mathematicae 62(1) (2000), 23-130.
  • Th. M. Rassias, Major trends in Mathematics, Newsletter European Math. Soc. 62 (2006), 13-14. Translated in Chinese and published in:Mathematical Advance in Translation, Chinese Academy of Sciences 2 (2008), 172-174.
  • Th. M. Rassias and J. Brzdek, Functional Equations in Mathematical Analysis, Springer, New York, 2012.
  • Th. M. Rassias and J. Simsa, Finite Sums Decompositions in Mathematical Analysis, John Wiley & Sons Ltd. (Wiley-Interscience Series in Pure and Applied Mathematics), Chichester, New York, Brisbane, Toronto, Singapore, 1995.

NotesEdit

  1. ^ Jung, Soon-Mo (2011). Hyers–Ulam–Rassias Stability of Functional Equations in Nonlinear Analysis. New York, USA: Springer. p. 377. ISBN 978-1-4419-9636-7.
  2. ^ Jung, Soon-Mo (2011). Hyers-Ulam-Rassias stability. Springer Optimization and its Applications. 48. doi:10.1007/978-1-4419-9637-4. ISBN 978-1-4419-9636-7.
  3. ^ a b "On the Aleksandrov-Rassias problem for isometric mappings" (PDF).
  4. ^ "University of Nis". Archived from the original on 2013-12-03. Retrieved 2010-12-15.
  5. ^ Google Scholar citations of Th.M. Rassias
  6. ^ MathSciNet Mathematical Reviews profile of Th.M. Rassias
  7. ^ An interview with Themistocles M. Rassias

ReferencesEdit

Further readingEdit

  • Hyers-Ulam-Rassias stability, in: Encyclopaedia of Mathematics, Supplement III Hazewinkel, M. (ed.), Kluwer (2001) ISBN 1-4020-0198-3, pp. 194–196.
  • Ulam-Hyers-Rassias Stability of Functional Equations, in: S. Czerwik, Functional Equations and Inequalities in Several Variables (Part II, pp. 129–260).

External linksEdit