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Completely Bounded Maps and Operator Algebras

Completely Bounded Maps and Operator Algebras by Vern Paulsen
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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.
Cambridge University Press; February 2003
314 pages; ISBN 9780511054709
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Title: Completely Bounded Maps and Operator Algebras
Author: Vern Paulsen
 
ISBNs
051105470X
9780511054709
9780521816694