Introduction to operator space theory / Gilles Pisier

• Autore: Pisier, Gilles
• Pubblicazione: Cambridge : Cambridge University Press, 2003
• Descrizione fisica: vii, 478 p. ; 23 cm
• Disciplina: 515.732
• Soggetto topico: Operator spaces
• Classificazione: AMS 47S; AMS 47S50; LC QA322.2P545
• Nota di bibliografia: Includes bibliographical references (p. [457]-475) and index
• Nota di contenuto: 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
• ISBN: 0521811651
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991001802099707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://catdir.loc.gov/catdir/toc/cam031/2002031358.html; http://catdir.loc.gov/catdir/description/cam0210/2002031358.html
• Serie: London Mathematical Society lecture note series, 0076-0552 ; 294