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Completely Bounded Maps and Operator Algebras Hardcover – Apr 21 2003


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"Although it contains deep and advanced results on operator spaces and their applications, the book is essentially self-contained and accessible to anyone with a basic knowledge in general functional analysis and C*-algebras." Mathematical Reviews

Book Description

In this book the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications.The presentation is appropriate to graduate students and experts alike. The author assumes only that the reader has a basic background in functional analysis, but also provides new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature.

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It is assumed throughout this book that the reader is familiar with operator theory and the basic properties of C*-algebras (see for example [76] and [8, Chapter 1]). Read the first page
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