Introduction to Operator Space Theory Paperback / softback
by Gilles (Texas A & M University and Universite de Paris VI (Pierre et Marie Curie)) Pisier
Part of the London Mathematical Society Lecture Note Series series
Paperback / softback
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:488 pages
- Publisher:Cambridge University Press
- Publication Date:25/08/2003
- Category:
- ISBN:9780521811651
Information
-
Out of stock
- Format:Paperback / softback
- Pages:488 pages
- Publisher:Cambridge University Press
- Publication Date:25/08/2003
- Category:
- ISBN:9780521811651