User:Mct mht/some links

OT
Dilation theory


 * Naimark's dilation theorem, Unitary dilation, Choi's theorem on completely positive maps, Stinespring factorization theorem, Sz.-Nagy's dilation theorem, Positive definite kernel

Operators


 * Wold decomposition, Extensions of symmetric operators/d1, Subnormal operator, Quasinormal operator, Fuglede's theorem, Finite rank operator, Cholesky decomposition, Contraction mapping, POVM, Nilpotent operator

Operator algebras


 * Affiliated operator, Bicommutant, ‎Schröder–Bernstein theorems for operator algebras, Von Neumann bicommutant theorem, Central carrier, Gelfand-Naimark-Segal construction, Cauchy–Schwarz inequality

FA
Spectral theory and functional calculus


 * Functional calculus, Holomorphic functional calculus, Borel functional calculus


 * Spectrum (functional analysis), Spectral theory, Decomposition of spectrum (functional analysis), Spectral theory of compact operators

Hilbert space


 * Weak convergence (Hilbert space), Reproducing kernel Hilbert space, Self adjoint operator, Unitary operator, Compact operator on Hilbert space, Trace class,  Singular value decomposition, Polar decomposition, Min-max theorem

Other


 * Riesz's lemma, Normed vector space, Uniform boundedness principle, Operator norm, Minkowski functional, Bochner's theorem/d2, Hellinger–Toeplitz theorem/d3

RA

 * Egorov's theorem, Luzin's theorem, Dominated convergence theorem/d4, Sigma-algebra, Borel measure, Signed measure, Hölder's inequality/d5

LA

 * Invariant subspace, Positive-definite matrix, Normal matrix, Hermitian adjoint, Spectral theorem, Eigenvalue, eigenvector and eigenspace, Jordan normal form, Square root of a matrix, Logarithm of a matrix, Orthogonal matrix, Hankel matrix


 * Schmidt decomposition, Generalizations of Pauli matrices, Partial trace,

A

 * Free group, Simple algebra, Simple ring, Semisimple algebra

Other

 * Cartan decomposition, Edge-graceful labeling, Kullback–Leibler divergence, Dynamical system

QI

 * Entanglement witness, Quantum channel, Channel-state duality, Fidelity of quantum states, Quantum entanglement, Peres-Horodecki criterion, Quantum teleportation, Range criterion, Superdense coding, Density matrix, Separable states, No cloning theorem, Purification of quantum state, Quantum relative entropy, Quantum mutual information, No-communication theorem, Reduction criterion, Joint quantum entropy, Quantum gate

QM

 * Mathematical formulation of quantum mechanics, Quantum operation, Hamiltonian (quantum mechanics), Position operator, Pauli matrices, Quantum logic, Quantum statistical mechanics , Gell-Mann matrices

SM

 * Microcanonical ensemble, Statistical ensemble (mathematical physics), Ergodic hypothesis, Liouville's theorem (Hamiltonian), Potts model

CM

 * Galilean invariance

SM

 * Maxwell-Boltzmann statistics, Fermi-Dirac statistics, Canonical ensemble, Grand canonical ensemble,Thermodynamic beta, Enthalpy, Osmosis, Phase space, Carnot heat engine , Bose-Einstein statistics , state (physics) , Statistical mechanics

QM

 * Measurement in quantum mechanics, Stern-Gerlach experiment, Quantum state