The Hilbert Projection Theorem is a famous result of
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Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Projection-valued measure — In mathematics, particularly functional analysis a projection valued measure is a function defined on certain subsets of a fixed set and whose values are self adjoint projections on a Hilbert space. Projection valued measures are used to express… … Wikipedia
Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… … Wikipedia
Kochen-Specker theorem — In quantum mechanics, the Kochen Specker (KS) theorem [S.Kochen and E.P. Specker, The problem of hidden variables inquantum mechanics , Journal of Mathematics and Mechanics 17, 59 87 (1967).] is a no go theorem provedby Simon Kochen and Ernst… … Wikipedia
Commutation theorem — In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… … Wikipedia
Spectral theorem — In mathematics, particularly linear algebra and functional analysis, the spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides conditions under which an operator or a … 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
Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… … 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
Gleason's theorem — Gleason s theorem, named after Andrew Gleason, is a mathematical result of particular importance for quantum logic. It proves that the Born rule for the probability of obtaining specific results to a given measurement, follows naturally from the… … Wikipedia
