Category:Operator theory

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 5 subcategories to this category.

D

• Differential operators

I

• Isometric operators

L

• Linear algebra

S

• Spectral theory

U

• Unitary operators

Articles in category "Operator theory"

There are 35 articles in this category.

Operator theory A Approximation property B Bounded operator C Calkin algebra Compact operator Continuous spectrum D Discrete spectrum E Essential spectrum F Fredholm operator G Gel'fand-Naimark theorem H Hamiltonian (quantum mechanics)

H cont. Hearing the shape of a drum Hermitian adjoint Hilbert space Hilbert-Schmidt operator I Invariant subspace M Min-max theorem N Nest algebra O Operator (physics) Operator algebra Operator norm Orthogonal projection P Partial isometry

P cont. Polar decomposition R Reflexive operator algebra S S-number Spectral theory 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