Introduction to operator space theory / Gilles Pisier.

Author/creator Pisier, Gilles, 1950-
Format Book
Publication InfoCambridge, U.K. ; New York : Cambridge University Press, 2003.
Descriptionvii, 478 pages ; 23 cm.
Supplemental ContentTable of contents
Supplemental ContentPublisher description
Subjects

SeriesLondon 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 noteIncludes bibliographical references (p. [457]-475) and index.
LCCN 2002031358
ISBN0521811651 (pbk.)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QA322.2 .P545 2003 ✔ Available Place Hold