Introduction to Operator Space Theory
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Introduction to Operator Space Theory by Gilles Pisier
Book DescriptionThe 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.
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Book DetailsISBN: 9780521811651
(228mm x 152mm x 28mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Aug-2003
Country of Publication: United Kingdom
Books By Author Gilles Pisier
Martingales in Banach Spaces, Hardback (June 2016)
This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.
Volume of Convex Bodies and Banach Space Geometry, Paperback (May 1999)» View all books by Gilles Pisier
A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.
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