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Sz.-Nagy's dilation theorem — The Sz. Nagy dilation theorem (proved by Béla Szőkefalvi Nagy) states that every contraction T on a Hilbert space H has a unitary dilation U to a Hilbert space K , containing H , with:T^n = P H U^n vert HMoreover, such a dilation is unique (up to … Wikipedia
Naimark's dilation theorem — In operator theory, Naimark s dilation theorem is a result that characterizes positive operator valued measures. It can be viewed as a consequence of Stinespring s dilation theorem. Contents 1 Note 2 Some preliminary notions 3 Naimark s theorem … Wikipedia
Dilation (operator theory) — In operator theory, a dilation of an operator T on a Hilbert space H is an operator on a larger Hilbert space K , whose restriction to H is T. More formally, let T be a bounded operator on some Hilbert space H, and H be a subspace of a larger… … Wikipedia
Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of … Wikipedia
Commutant lifting theorem — In operator theory, the commutant lifting theorem, due to Sz. Nagy and Foias, states that if T is a contraction on a Hilbert space H, U is its minimal unitary dilation acting on some Hilbert space K (which can be shown to exist by Sz. Nagy s… … Wikipedia
Time dilation — This article is about a concept in physics. For the concept in sociology, see time displacement. In the theory of relativity, time dilation is an observed difference of elapsed time between two events as measured by observers either moving… … Wikipedia
Gravitational time dilation — is the effect of time passing at different rates in regions of different gravitational potential; the higher the local distortion of spacetime due to gravity, the slower time passes. Albert Einstein originally predicted this effect in his theory… … Wikipedia
Brunn-Minkowski theorem — In mathematics, the Brunn Minkowski theorem (or Brunn Minkowski inequality) is an inequality relating the volumes (or more generally Lebesgue measures) of compact subsets of Euclidean space. The original version of the Brunn Minkowski theorem (H … Wikipedia
POVM — In functional analysis and quantum measurement theory, a POVM (Positive Operator Valued Measure) is a measure whose values are non negative self adjoint operators on a Hilbert space. It is the most general formulation of a measurement in the… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
