Completely Bounded Maps and Operator Algebras

In this book, first published in 2003, 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 author assumes...

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Bibliographic Details
Main Author Paulsen, Vern
Format eBook
LanguageEnglish
Published New York Cambridge University Press 2002
Edition1
SeriesCambridge Studies in Advanced Mathematics
Subjects
Dilation theory (Operator theory)
Mappings (Mathematics)
Operator algebras
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Summary:In this book, first published in 2003, 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 author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more.
ISBN:0521816696
9780521816694
DOI:10.1017/CBO9780511546631