About: Stinespring dilation theorem

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In mathematics, Stinespring's dilation theorem, also called Stinespring's factorization theorem, named after W. Forrest Stinespring, 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 which has a special form: 1. * A *-representation of A on some auxiliary Hilbert space K followed by 2. * An operator map of the form T → V*TV.

Attributes	Values
rdfs:label	Satz von Stinespring (de) Stinespring dilation theorem (en)
rdfs:comment	Der Satz von Stinespring, benannt nach , ist ein Satz aus dem mathematischen Teilgebiet der Funktionalanalysis aus dem Jahre 1955. Er besagt, dass vollständig positive Operatoren auf C-Algebren im Wesentlichen Kompressionen von Hilbertraum-Darstellungen sind. (de) In mathematics, Stinespring's dilation theorem, also called Stinespring's factorization theorem, named after W. Forrest Stinespring, 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 which has a special form: 1. * A -representation of A on some auxiliary Hilbert space K followed by 2. An operator map of the form T → V*TV. (en)
dcterms:subject	Operator theory Theorems in functional analysis Operator algebras
Wikipage page ID	5092080 (xsd:integer)
Wikipage revision ID	1016960722 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum information theory Partial isometry Unital algebra Unitary operator Viacheslav Belavkin Degeneracy (mathematics) Invariant subspace Lifting property Positive linear functional -algebra 0 Operator theory Complex number Theorems in functional analysis Mathematics Matrix algebra Gelfand–Naimark–Segal construction Natural transformation Operator theory Contraction (operator theory) State (functional analysis) Completely positive map Embedding Closed linear span Trace (linear algebra) Quantum channel Absolutely continuous Naimark's dilation theorem Sz.-Nagy's dilation theorem Quotient space (linear algebra) Hilbert space Quantum operation Completely positive map Operator algebras C-algebra Positive-definite matrix Positive element Category of finite-dimensional Hilbert spaces Radon–Nikodym theorem Up to Noncommutative Completion (algebra) Spectral measure Hermitian operator Sesquilinear form W. Forrest Stinespring Countably-additive Positive functional *-homomorphism Unit-norm vector Unitary dilation Bounded operators Density operator Dilation theory
sameAs	Stinespring dilation theorem Stinespring dilation theorem Stinespring dilation theorem
dbp:wikiPageUsesTemplate	dbt:Pi dbt:Functional_analysis
has abstract	Der Satz von Stinespring, benannt nach , ist ein Satz aus dem mathematischen Teilgebiet der Funktionalanalysis aus dem Jahre 1955. Er besagt, dass vollständig positive Operatoren auf C-Algebren im Wesentlichen Kompressionen von Hilbertraum-Darstellungen sind. (de) In mathematics, Stinespring's dilation theorem, also called Stinespring's factorization theorem, named after W. Forrest Stinespring, 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 which has a special form: 1. * A -representation of A on some auxiliary Hilbert space K followed by 2. An operator map of the form T → VTV. Moreover, Stinespring's theorem is a structure theorem from a C-algebra into the algebra of bounded operators on a Hilbert space. Completely positive maps are shown to be simple modifications of -representations, or sometimes called -homomorphisms. (en)
prov:wasDerivedFrom	wikipedia-en:Stinespring_dilation_theorem?oldid=1016960722&ns=0
page length (characters) of wiki page	12474 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Stinespring_dilation_theorem
is Link from a Wikipage to another Wikipage of	Stinespring factorization theorem Stinespring factorisation theorem
is Wikipage redirect of	Stinespring factorization theorem Stinespring factorisation theorem
is foaf:primaryTopic of	wikipedia-en:Stinespring_dilation_theorem

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