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Completely Bounded Maps and Operator Algebras.

Completely Bounded Maps and Operator Algebras.

・ISBN 978-0-521-81669-4 hard GB£ 125.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-54663-1

著者・編者Paulsen, Vern,
シリーズCambridge Studies in Advanced Mathematics
出版社(Cambridge University Press, UK)
出版年月2003
ページ数314 pp.
言語ENG
ニュース番号<M25-10895>

解説

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.