Introduction to operator space theory / Gilles Pisier.
| Author/creator | Pisier, Gilles, 1950- |
| Format | Book |
| Publication Info | Cambridge, U.K. ; New York : Cambridge University Press, 2003. |
| Description | vii, 478 pages ; 23 cm. |
| Supplemental Content | Table of contents |
| Supplemental Content | Publisher description |
| Subjects |
| Series | London Mathematical Society lecture note series ; 294 London Mathematical Society lecture note series 294. ^A27188 |
| Contents | Introduction to Operator Spaces -- Completely bounded maps -- Minimal tensor product -- Minimal and maximal operator space structures on a Banach space -- Projective tensor product -- The Haagerup tensor product -- Characterizations of operator algebras -- The operator Hilbert space -- Group C*-algebras -- Examples and comments -- Comparisons -- Operator Spaces and C*-tensor products -- C*-norms on tensor products -- Nuclearity and approximation properties -- C* -- Kirchberg's theorem on decomposable maps -- The weak expectation property -- The local lifting property -- Exactness -- Local reflexivity -- Grothendieck's theorem for operator spaces -- Estimating the norms of sums of unitaries -- Local theory of operator spaces -- Completely isomorphic C*-algebras -- Injective and projective operator spaces -- Operator Spaces and Non Self-Adjoint Operator Algebras -- Maximal tensor products and free products of non self-adjoint operator algebras -- The Blechter-Paulsen factorization -- Similarity problems -- The Sz-nagy-halmos similarity problem -- Solutions to the exercises. |
| Bibliography note | Includes bibliographical references (p. [457]-475) and index. |
| LCCN | 2002031358 |
| ISBN | 0521811651 (pbk.) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA322.2 .P545 2003 | ✔ Available | Place Hold |