Introduction to operator space theory /
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...
| Основен автор: | Pisier, Gilles, 1950- |
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| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2003.
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| Серия: |
London Mathematical Society lecture note series ;
294. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120691 |
| Подобни документи: |
Print version::
Introduction to operator space theory. |
| Резюме: |
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. |
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| Физически характеристики: |
1 online resource (vii, 478 pages). |
| Библиография: |
Includes bibliographical references (pages 457-475) and indexes. |
| ISBN: |
9780511064517 0511064519 9781107360235 1107360234 9780511205569 0511205562 9780511072970 051107297X |