User:Mct mht/some links

Mathematics

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

Physics, mathematical

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

Physics, other

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