# Category:Operator theory

From HandWiki

Here is a list of articles in the Operator theory category of the Computing portal that unifies foundations of mathematics and computations using computers.
**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

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

### D

### F

- Functional calculus (4 P)

### I

- Invariant subspaces (11 P)

### L

### S

- Singular value decomposition (13 P)
- Spectral theory (54 P)

### U

- Unitary operators (10 P)

## Pages in category "Operator theory"

The following 155 pages are in this category, out of 155 total.

### B

### C

- Calderón projector
- Calkin algebra
- Cauchy–Schwarz inequality
- Choi's theorem on completely positive maps
- Cholesky decomposition
- Commutant lifting theorem
- Compact operator
- Compact operator on Hilbert space
- Composition operator
- Continuous linear operator
- Contraction (operator theory)
- Controlled invariant subspace
- Convexoid operator
- Cotlar–Stein lemma
- Crossed product
- Cyclic and separating vector

### D

### H

### I

### L

### N

### O

### P

### S

- Schatten class operator
- Schatten norm
- Schröder–Bernstein theorems for operator algebras
- Sectorial operator
- Sedrakyan's inequality
- Titu's lemma
- Self-adjoint operator
- Sherman–Takeda theorem
- SIC-POVM
- Singular integral operators of convolution type
- Singular integral operators on closed curves
- Singular value
- Sobolev spaces for planar domains
- Spectral theory of ordinary differential equations
- Stein–Strömberg theorem
- Stinespring dilation theorem
- Stinespring factorization theorem
- Strictly singular operator
- Sturm-Liouville theory
- Sturm–Liouville theory
- Subfactor
- Subnormal operator
- Symmetric operator
- Symmetrizable compact operator
- Sz.-Nagy's dilation theorem