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Wikipedia:WikiProject Mathematics/PlanetMath Exchange/46-XX Functional analysis

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This page provides a list of all articles available at PlanetMath in the following topic:

46-XX Functional analysis.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
  3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status means PM article
N not needed
A adequately covered
C copied
M merged
NC needs copying
NM needs merging
  • Please update the WP and Status fields as appropriate.
  • if the WP field is correct please remove the qualifier "guess".
  • If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
  • If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
  • If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.

Don't forget to include the relevant template if you copy over text or feel like an external link is warranted

  • {{planetmath|id=|title=}} for copied over text
  • {{planetmath reference|id=|title=}} for an external link

See the main page for examples and usage criteria.

One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.

46-00 General reference works (handbooks, dictionaries, bibliographies, etc.) edit

PM article is a proof which is not included in WP; WP doesn't even define the order of a distribution. Jitse Niesen 13:32, 31 Jan 2005 (UTC)
PM article is a proof which is not included in WP; p.v. (1/x) is a nice example of a distribution which should be mentioned in WP. Connection with renormalization? Jitse Niesen 13:32, 31 Jan 2005 (UTC)
No WP article, could perhaps be included in Fréchet space. Jitse Niesen 13:32, 31 Jan 2005 (UTC)
PM definition is included in bounded, while bounded function uses a different definition coming from order theory. The space of bounded functions is treated as an example in Banach space. Jitse Niesen 13:32, 31 Jan 2005 (UTC)
PM definition is more general. Need to create article bounded set, possibly as a redirect to bounded. The thm in PM (compact implies bounded) should be added. Jitse Niesen 13:32, 31 Jan 2005 (UTC)
I recently split the page from bounded set and added the theorem from PM. MathMartin 11:49, 4 May 2005 (UTC)[reply]
Copied the most essential part, as to not disturb too much the existing article. Oleg Alexandrov (talk) 04:52, 10 March 2006 (UTC)[reply]
Our artilcle is more complete. Paul August ☎ 15:03, Jan 31, 2005 (UTC)
  • PM: cone, id=4570 -- WP guess: cone -- Status:
  • PM: cone, id=7447 -- WP guess: cone -- Status:

46A03 General theory of locally convex spaces edit

Oleg Alexandrov (talk) 19:16, 20 November 2005 (UTC)[reply]

46A08 Barrelled spaces, bornological spaces edit

46A20 Duality theory edit

46A30 Open mapping and closed graph theorems; completeness (including $B$-, $B r$-completeness) edit

Oleg Alexandrov (talk) 19:01, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 19:01, 20 November 2005 (UTC)[reply]
Oleg Alexandrov (talk) 19:01, 20 November 2005 (UTC)[reply]

46A40 Ordered topological linear spaces, vector lattices edit

46A55 Convex sets in topological linear spaces; Choquet theory edit

46A99 Miscellaneous edit

AdamSmithee 15:29, 3 February 2006 (UTC)[reply]
AdamSmithee 15:29, 3 February 2006 (UTC)[reply]

46Axx Topological linear spaces and related structures edit

46B03 Isomorphic theory (including renorming) of Banach spaces edit

46B04 Isometric theory of Banach spaces edit

46B07 Local theory of Banach spaces edit

46B10 Duality and reflexivity edit

AdamSmithee 15:38, 3 February 2006 (UTC)[reply]
AdamSmithee 15:38, 3 February 2006 (UTC)[reply]

46B15 Summability and bases edit

46B20 Geometry and structure of normed linear spaces edit

Oleg Alexandrov (talk) 22:58, 10 December 2005 (UTC)[reply]
Oleg Alexandrov (talk) 05:03, 10 March 2006 (UTC)[reply]

46B25 Classical Banach spaces in the general theory edit

AdamSmithee 15:54, 3 February 2006 (UTC)[reply]

46B50 Compactness in Banach (or normed) spaces edit

46B99 Miscellaneous edit

Oleg Alexandrov (talk) 19:52, 20 November 2005 (UTC)[reply]
AdamSmithee 10:25, 6 February 2006 (UTC)[reply]
Oleg Alexandrov (talk) 06:52, 25 October 2005 (UTC)[reply]
Oleg Alexandrov 22:47, 13 September 2005 (UTC)[reply]
AdamSmithee 10:25, 6 February 2006 (UTC)[reply]
AdamSmithee 10:25, 6 February 2006 (UTC)[reply]

46Bxx Normed linear spaces and Banach spaces; Banach lattices edit

46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) edit

Oleg Alexandrov 02:07, 5 March 2006 (UTC)[reply]
Along with Riesz basis. Ben Cairns 12:55, 18 April 2006 (UTC)[reply]

46C15 Characterizations of Hilbert spaces edit

46C99 Miscellaneous edit

AdamSmithee 16:13, 3 February 2006 (UTC)[reply]
AdamSmithee 16:13, 3 February 2006 (UTC)[reply]

46Cxx Inner product spaces and their generalizations, Hilbert spaces edit

46E15 Banach spaces of continuous, differentiable or analytic functions edit

Oleg Alexandrov (talk) 06:57, 25 October 2005 (UTC)[reply]

46E30 Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, KÃ&#131;¶the function spaces, Lorentz spaces, rearrangement invariant edit

Oleg Alexandrov (talk) 04:43, 11 March 2006 (UTC)[reply]
Oleg Alexandrov (talk) 04:10, 11 March 2006 (UTC)[reply]

46E35 Sobolev spaces and other spaces of smooth functions, embedding theorems, trace theorems edit

Oleg Alexandrov 22:50, 13 September 2005 (UTC)[reply]
Oleg Alexandrov 22:50, 13 September 2005 (UTC)[reply]

46E40 Spaces of vector- and operator-valued functions edit

46Exx Linear function spaces and their duals edit

46F05 Topological linear spaces of test functions, distributions and ultradistributions edit

linas 21:44, 4 March 2006 (UTC)[reply]

46F10 Operations with distributions edit

46Fxx Distributions, generalized functions, distribution spaces edit

46G05 Derivatives edit

46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) edit

46H05 General theory of topological algebras edit

46H15 Representations of topological algebras edit

46H35 Topological algebras of operators edit

46Hxx Topological algebras, normed rings and algebras, Banach algebras edit

46J10 Banach algebras of continuous functions, function algebras edit

46Jxx Commutative Banach algebras and commutative topological algebras edit

46K05 General theory of topological algebras with involution edit

46K10 Representations of topological algebras with involution edit

46Kxx Topological (rings and) algebras with an involution edit

46L05 General theory of $C^*$-algebras edit

Oleg Alexandrov (talk) 23:00, 10 December 2005 (UTC)[reply]
Our article contains the relevant bit of info. The proof itself which is contained in the PM article, is not wanted. Oleg Alexandrov (talk) 23:02, 10 December 2005 (UTC)[reply]

46L10 General theory of von Neumann algebras edit

46L65 Quantizations, deformations edit

46L85 Noncommutative topology edit

Ours is more elementary and more complete. Oleg Alexandrov (talk) 23:03, 10 December 2005 (UTC)[reply]

46L87 Noncommutative differential geometry edit

46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) edit

46M05 Tensor products edit

46Mxx Methods of category theory in functional analysis edit

46N99 Miscellaneous edit

46Nxx Miscellaneous applications of functional analysis edit

46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds edit

46T20 Continuous and differentiable maps edit

46Txx Nonlinear functional analysis edit

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