Wikipedia:WikiProject Mathematics/PlanetMath Exchange/47-XX Operator theory

From Wikipedia, the free encyclopedia

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

47-XX Operator theory.

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.

47-00 General reference works (handbooks, dictionaries, bibliographies, etc.)[edit]

47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)[edit]

WP article looks reasonable. Oleg Alexandrov 15:27, 9 September 2005 (UTC)[reply]
Oleg Alexandrov 19:58, 9 September 2005 (UTC)[reply]

47A07 Forms (bilinear, sesquilinear, multilinear)[edit]

47A10 Spectrum, resolvent[edit]

47A12 Numerical range, numerical radius[edit]

47A15 Invariant subspaces[edit]

47A35 Ergodic theory[edit]

47A53 (Semi-) Fredholm operators; index theories[edit]

The PM article is a barebone definition. I would not be willing to create an article for that. Oleg Alexandrov 15:26, 9 September 2005 (UTC)[reply]

47A55 Perturbation theory[edit]

47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones[edit]

47A60 Functional calculus[edit]

47Axx General theory of linear operators[edit]

47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)[edit]

47B25 Symmetric and selfadjoint operators (unbounded)[edit]

47B38 Operators on function spaces (general)[edit]

47Bxx Special classes of linear operators[edit]

47C05 Operators in algebras[edit]

47C10 Operators in $^*$-algebras[edit]

47C15 Operators in $C^*$- or von Neumann algebras[edit]

47Cxx Individual linear operators as elements of algebraic systems[edit]

47G30 Pseudodifferential operators[edit]

Oleg Alexandrov 3 July 2005 20:09 (UTC)

47Gxx Integral, integro-differential, and pseudodifferential operators[edit]

47H10 Fixed-point theorems[edit]

47Hxx Nonlinear operators and their properties[edit]

47J07 Abstract inverse mapping and implicit function theorems[edit]

47Jxx Equations and inequalities involving nonlinear operators[edit]

47L07 Convex sets and cones of operators[edit]

47L25 Operator spaces (= matricially normed spaces)[edit]

Oleg Alexandrov (talk) 04:36, 10 March 2006 (UTC)[reply]

47Lxx Linear spaces and algebras of operators[edit]

47S99 Miscellaneous[edit]

Just a definition of a rather obscure kind of inverse for operators which are not normally invertible. Oleg Alexandrov 20:08, 9 September 2005 (UTC)[reply]

47Sxx Other (nonclassical) types of operator theory[edit]