Category:Operator theory

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Operator theory is the branch of functional analysis which deals with bounded linear operators and their properties. It can be split crudely into two branches, although there is considerable overlap and interplay between them. These extend the spectral theory, for bounded operators.

The main article for this category is Operator theory.

Subcategories

This category has the following 7 subcategories, out of 7 total.

D Differential operators F Fredholm theory

F cont. Functional calculus I Isometric operators S Singular value decomposition

S cont. Spectral theory U Unitary operators

Pages in category "Operator theory"

The following 89 pages are in this category, out of 89 total. Updates to this list can occasionally be delayed for a few days.

* Operator theory A Abstract index group Affiliated operator Approximation property B Banach-Stone theorem Berezin transform Bounded inverse theorem Bounded operator Browder-Minty theorem C Calkin algebra Cauchy–Schwarz inequality Choi's theorem on completely positive maps Cholesky decomposition Closed operator Commutant lifting theorem Compact operator Compact operator on Hilbert space Composition operator Contraction (operator theory) Cotlar–Stein lemma Crossed product D De Branges function De Branges space Densely-defined operator Dilation (operator theory) Discrete Laplace operator Dissipative operator E Extensions of symmetric operators F Finite rank operator

F cont. Friedrichs extension Fuglede's theorem G Gelfand–Naimark theorem H Hamiltonian (quantum mechanics) Hermitian adjoint Hilbert C*-module Hilbert space Hilbert-Schmidt integral operator Hilbert-Schmidt theorem Hilbert–Schmidt operator I Indefinite inner product space Integration by parts operator Invariant subspace K Kato's conjecture Kuiper's theorem M Multipliers and centralizers (Banach spaces) N Naimark's dilation theorem Nemytskii operator Nest algebra Nilpotent operator Normal operator Nuclear operator Nuclear space O Operator (physics) Operator algebra Operator norm Operator system P Partial isometry Polar decomposition Positive definite function on a group

P cont. Positive definite kernel Pseudo-monotone operator Q Quasinormal operator R Reflexive operator algebra Resolvent set Riesz-Thorin theorem S Schatten class operator Schatten norm Self-adjoint operator Singular value Spectral theory of ordinary differential equations Stein-Strömberg theorem Stinespring factorization theorem Sturm-Liouville theory Subfactor Subnormal operator Sz.-Nagy's dilation theorem T Toeplitz operator Tomita–Takesaki theory Topological tensor product Trace class Transfer operator U Unitary operator User:Terry Bollinger/x1 V Volterra operator Von Neumann algebra Von Neumann bicommutant theorem Von Neumann's inequality Von Neumann's theorem W Wold decomposition

Categories: Functional analysis | Theoretical physics

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• This page was last modified 11:21, 29 September 2007 by Wikipedia user Escarbot. Based on work by Wikipedia user(s) Charles Matthews, Rolf-Zurbruegg, Linas, Dysprosia, Fuelbottle and Lupin and Anonymous user(s) of Wikipedia.
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