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
This category has the following 9 subcategories, out of 9 total.
D
F
- Fredholm theory (15 P)
- Functional calculus (4 P)
I
- Invariant subspaces (10 P)
L
O
- Operator theorists (44 P)
S
- Singular value decomposition (13 P)
- Spectral theory (52 P)
U
- Unitary operators (10 P)
Pages in category "Operator theory"
The following 151 pages are in this category, out of 151 total. This list may not reflect recent changes.
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
- 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
- Strictly singular operator
- Sturm–Liouville theory
- Subfactor
- Subnormal operator
- Symmetric operator
- Symmetrizable compact operator
- Sz.-Nagy's dilation theorem