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.

Subcategories

There are 4 subcategories to this category.

D

• Differential operators

I

• Isometric operators

L

• Linear algebra

U

• Unitary operators

Articles in category "Operator theory"

There are 25 articles in this category.

A Approximation property C Calkin algebra Compact operator F Fredholm operator G Gel'fand-Naimark theorem H Hermitian adjoint Hilbert space Hilbert-Schmidt operator

I Invariant subspace N Nest algebra O Operator (physics) Operator algebra Operator norm Orthogonal projection R Reflexive operator algebra S S-number Spectral theory

S Spectrum of an operator Strong operator topology T Topologies on the set of operators on a Hilbert space U Unitary operator V Von Neumann algebra Von Neumann bicommutant theorem W Weak operator topology Weak-star operator topology

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