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

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

47-XX Operator theory.

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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

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