Introduction to Operator Space Theory

By:

Gilles Pisier

Format:

Paperback / softback

Series:

London Mathematical Society Lecture Note Series,

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Description

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.

Release date NZ

August 25th, 2003

Author

Gilles Pisier

Audience

Professional & Vocational

Pages

488

Series

London Mathematical Society Lecture Note Series,

Dimensions

153x229x26

ISBN-13

9780521811651

Product ID

2098818

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