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)
Oleg Alexandrov 19:58, 9 September 2005 (UTC)

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)

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)

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)

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