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

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47-XX Operator theory.

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

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

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

[edit] 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

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)

[edit] 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

Oleg Alexandrov 3 July 2005 20:09 (UTC)

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

[edit] 47H10 Fixed-point theorems

  • PM: KKM lemma, id=8597new! -- WP guess: KKM lemma -- Status:

[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)

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

[edit] 47Lxx Linear spaces and algebras of operators

[edit] 47S99 Miscellaneous

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)

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