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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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A adequately covered
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47-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

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

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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)

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47A10 Spectrum, resolvent

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47A12 Numerical range, numerical radius

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47A15 Invariant subspaces

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47A35 Ergodic theory

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47A53 (Semi-) Fredholm operators; index theories

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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

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

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47A60 Functional calculus

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47Axx General theory of linear operators

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

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47B25 Symmetric and selfadjoint operators (unbounded)

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47B38 Operators on function spaces (general)

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47Bxx Special classes of linear operators

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47C05 Operators in algebras

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47C10 Operators in $^*$-algebras

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

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47Cxx Individual linear operators as elements of algebraic systems

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47G30 Pseudodifferential operators

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Oleg Alexandrov 3 July 2005 20:09 (UTC)

47Gxx Integral, integro-differential, and pseudodifferential operators

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47H10 Fixed-point theorems

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47Hxx Nonlinear operators and their properties

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47J07 Abstract inverse mapping and implicit function theorems

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47Jxx Equations and inequalities involving nonlinear operators

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47L07 Convex sets and cones of operators

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47L25 Operator spaces (= matricially normed spaces)

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

47Lxx Linear spaces and algebras of operators

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47S99 Miscellaneous

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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

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