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Completely Bounded Maps and Operator Algebras

Completely Bounded Maps and Operator Algebras

Hardcover

Series: Cambridge Studies in Advanced Mathematics, Book 78

Medical ReferenceAlgebraProbability & Statistics

ISBN10: 0521816696
ISBN13: 9780521816694
Publisher: Cambridge University Press
Published: Feb 6 2003
Pages: 314
Weight: 1.17
Height: 0.81 Width: 9.23 Depth: 6.35
Language: English
This book tours the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, along with some of their main applications. It requires only a basic background in functional analysis. The presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will appreciate how 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 indispensible introduction to the theory of operator spaces.

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Algebra