User:Mct mht/some links
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Mathematics
[edit]OT
[edit]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
[edit]Spectral theory and 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
[edit]- Egorov's theorem, Luzin's theorem, Dominated convergence theorem/d4, Sigma-algebra, Borel measure, Signed measure, Hölder's inequality/d5
LA
[edit]- 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
A
[edit]Other
[edit]Physics, mathematical
[edit]QI
[edit]- 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
[edit]- Mathematical formulation of quantum mechanics, Quantum operation, Hamiltonian (quantum mechanics), Position operator, Pauli matrices, Quantum logic, Quantum statistical mechanics, Gell-Mann matrices
SM
[edit]- Microcanonical ensemble, Statistical ensemble (mathematical physics), Ergodic hypothesis, Liouville's theorem (Hamiltonian), Potts model
Physics, other
[edit]CM
[edit]SM
[edit]- 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