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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | London Mathematical Society lecture note series
294 |
| Links: | https://doi.org/10.1017/CBO9781107360235 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (vii, 478 Seiten) |
| ISBN: | 9781107360235 |
Internformat
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| spelling | Pisier, Gilles 1950- Introduction to operator space theory Gilles Pisier Cambridge Cambridge University Press 2003 1 Online-Ressource (vii, 478 Seiten) txt c cr London Mathematical Society lecture note series 294 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. Erscheint auch als Druck-Ausgabe 9780521811651 |
| spellingShingle | Pisier, Gilles 1950- Introduction to operator space theory |
| title | Introduction to operator space theory |
| title_auth | Introduction to operator space theory |
| title_exact_search | Introduction to operator space theory |
| title_full | Introduction to operator space theory Gilles Pisier |
| title_fullStr | Introduction to operator space theory Gilles Pisier |
| title_full_unstemmed | Introduction to operator space theory Gilles Pisier |
| title_short | Introduction to operator space theory |
| title_sort | introduction to operator space theory |
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