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Item Details
Title: INTRODUCTION TO OPERATOR SPACE THEORY
By: Gilles Pisier, N. J. Hitchin
Format: Paperback

List price: £102.00
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ISBN 10: 0521811651
ISBN 13: 9780521811651
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 25 August, 2003
Series: London Mathematical Society Lecture Note Series No. 294
Pages: 488
Description: An introduction to the theory of operator spaces, emphasising applications to C*-algebras.
Synopsis: The theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An 'operator space' is simply a Banach space with an embedding into the space B(H) of all bounded operators on a Hilbert space H. The first part of this book is an introduction with emphasis on examples that illustrate various aspects of the theory. The second part is devoted to applications to C*-algebras, with a systematic exposition of tensor products of C*-algebras. The third (and shorter) part of the book describes applications to non self-adjoint operator algebras, and similarity problems. In particular the author's counterexample to the 'Halmos problem' is presented, as well as work on the new concept of 'length' of an operator algebra. Graduate students and professional mathematicians interested in functional analysis, operator algebras and theoretical physics will find that this book has much to offer.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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