Operator-Valued Measures, Dilations, and the Theory of Frames |
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Author:
| Han, Deguang Larson, David R. Liu, Bei Liu, Rui |
Series title: | Memoirs of the American Mathematical Society Ser. |
ISBN: | 978-0-8218-9172-8 |
Publication Date: | Apr 2014 |
Publisher: | American Mathematical Society
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Book Format: | Paperback |
List Price: | USD $69.00USD $69.00 |
Book Description:
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The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian.
The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded linear maps on abelian von Neumann algebras, and some of their results include new dilation results for bounded linear maps that are not necessarily completely bounded, and from domain algebras that are not necessarily abelian.