Sz.-Nagy's dilation theorem
id:
sz-nagy-s-dilation-theorem-292-16842592
title:
Sz.-Nagy's dilation theorem
text:
The Sz.-Nagy dilation theorem states that every contraction T on a Hilbert space H has a unitary dilation U to a Hilbert space K , containing H , with where P H is the projection from K onto H .
Moreover, such a dilation is unique when one assumes K is minimal, in the sense that the linear span of ⋃ n ∈ N U n H is dense in K. When this minimality condition holds, U is called the minimal unitary dilation of T.
brand slug:
wiki
category slug:
encyclopedia
description:
Dilation theorem
original url:
https://en.wikipedia.org/wiki/Sz.-Nagy%27s_dilation_theorem
date created:
date modified:
2023-11-07T13:48:28Z
main entity:
{"identifier":"Q7664013","url":"https://www.wikidata.org/entity/Q7664013"}
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fields total:
13
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14