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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 → VTV*.
 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.

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  Stinespring factorization 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 → 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.
 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. 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.

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