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Operator theory

Operator theory
Abstract index group
Affiliated operator
Antieigenvalue theory
Approximation property
AW*-algebra
Banach–Stone theorem
Beltrami equation
Berezin transform
Bergman space
Bounded inverse theorem
Bounded operator
Browder–Minty theorem
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
Contraction (operator theory)
Controlled invariant subspace
Convexoid operator
Cotlar–Stein lemma
Crossed product
De Branges space
Densely defined operator
Differential operator
Dilation (operator theory)
Discrete Laplace operator
Dissipative operator
Dixmier trace
Douglas' lemma
Eigenvalues and eigenvectors of the second derivative
Extensions of symmetric operators
Farrell–Markushevich theorem
Finite-rank operator
Friedrichs extension
Fuglede's theorem
Gelfand–Naimark theorem
Grunsky matrix
Hamiltonian (quantum mechanics)
Hardy space
Hermitian adjoint
Hilbert C*-module
Hilbert space
Hilbert–Schmidt integral operator
Hilbert–Schmidt operator
Hilbert–Schmidt theorem
Hypercyclic operator
Hyponormal operator
Indefinite inner product space
Integration by parts operator
International Workshop on Operator Theory and its Applications
Invariant subspace
Invariant subspace problem
Jacobi operator
Jordan operator algebra
Kato's conjecture
Kronecker sum of discrete Laplacians
Krylov subspace
Kuiper's theorem
Linear subspace
Littlewood subordination theorem
Min-max theorem
Multipliers and centralizers (Banach spaces)
Naimark's dilation theorem
Nemytskii operator
Nest algebra
Neumann–Poincaré operator
Nilpotent operator
Normal operator
Nuclear operator
Nuclear space
Numerical range
Operator (physics)
Operator algebra
Operator norm
Operator space
Operator system
Ornstein–Uhlenbeck operator
Oscillator representation
Paranormal operator
Partial isometry
Polar decomposition
Positive-definite kernel
Positive-definite function on a group
Product numerical range
Pseudo-monotone operator
Quasinormal operator
Real rank (C*-algebras)
Reflexive operator algebra
Resolvent set
Riesz–Thorin theorem
Schatten class operator
Schatten norm
Self-adjoint operator
Sherman–Takeda theorem
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 factorization theorem
Strictly singular operator
Sturm–Liouville theory
Subfactor
Subnormal operator
Symmetric operator
Symmetrizable compact operator
Sz.-Nagy's dilation theorem
Toeplitz operator
Tomita–Takesaki theory
Topological tensor product
Trace class
Trace inequalities
Transfer operator
Tree kernel
Unbounded operator
Uniformly bounded representation
Unitary operator
Volterra operator
Von Neumann algebra
Von Neumann bicommutant theorem
Von Neumann's inequality
Von Neumann's theorem
Weyl–von Neumann theorem
Wold's decomposition

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