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A Glimpse at Hilbert Space OperatorsDilation Theory Yesterday and Today

A Glimpse at Hilbert Space Operators: Dilation Theory Yesterday and Today [Paul Halmos’ work in dilation theory began with a question and its answer: Which operators on a Hilbert space H can be extended to normal operators on a larger Hilbert space K ⊇ H? The answer is interesting and subtle.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Glimpse at Hilbert Space OperatorsDilation Theory Yesterday and Today

Part of the Operator Theory Advances and Applications Book Series (volume 207)
Editors: Axler, Sheldon; Rosenthal, Peter; Sarason, Donald
Arveson, William
Springer Journals — Apr 5, 2011
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24 pages

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Publisher
Springer Basel
Copyright
© Birkhäuser Basel 2010
ISBN
978-3-0346-0346-1
Pages
99 –123
DOI
10.1007/978-3-0346-0347-8_8
Publisher site
See Chapter on Publisher Site

Abstract

[Paul Halmos’ work in dilation theory began with a question and its answer: Which operators on a Hilbert space H can be extended to normal operators on a larger Hilbert space K ⊇ H? The answer is interesting and subtle.]

Published: Apr 5, 2011

Keywords: 46L07; Dilation theory; completely positive linear maps

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