Banach embedding properties of non-commutative Lp-spaces /

Introduction The modulus of uniform integrability and weak compactness in $L^1(\mathcal N)$ Improvements to the main theorem Complements on the Banach/operator space structure of $L^p(\mathcal N)$-spaces The Banach isomorphic classification of the spaces $L^p(\mathcal N)$ for $\mathcal N$ hyperfinit...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Haagerup, U.
Other Authors: Rosenthal, Haskell P., Sukochev, F. A.
Format: Electronic eBook
Language:Inglés
Published: Providence, R.I. : American Mathematical Society, ©2003.
Series:Memoirs of the American Mathematical Society ; no. 776.
Subjects:
Lp spaces.
Normed linear spaces.
Von Neumann algebras.
Noncommutative function spaces.
Espaces Lp.
Espaces linéaires normés.
Algèbres de Von Neumann.
Espaces fonctionnels non commutatifs.
Lp spaces
Noncommutative function spaces
Normed linear spaces
Von Neumann algebras
Online Access:Texto completo
Table of Contents:
  • 1. Introduction 2. The modulus of uniform integrability and weak compactness in $L^1(\mathcal {N})$ 3. Improvements to the main theorem 4. Complements on the Banach/operator space structure of $L^p(\mathcal {N})$-spaces 5. The Banach isomorphic classification of the spaces $L^p(\mathcal {N})$ for $\mathcal {N}$ hyperfinite semi-finite 6. $L^p(\mathcal {N})$-isomorphism results for $\mathcal {N}$ a type III hyperfinite or a free group von Neumann algebra.

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