Banach embedding properties of non-commutative Lp-spaces /

Haagerup, U.

Banach embedding properties of non-commutative Lp-spaces / [electronic resource] U. Haagerup, H.P. Rosenthal, F.A. Sukochev. - Providence, R.I. : American Mathematical Society, c2003. - 1 online resource (vi, 68 p. : ill.) - Memoirs of the American Mathematical Society, v. 776 0065-9266 (print); 1947-6221 (online); .

"Volume 163, number 776 (third of 5 numbers)."

Includes bibliographical references (p. 67-68).

1. Introduction 2. The modulus of uniform integrability and weak compactness in $L^1(\mathcal )$ 3. Improvements to the main theorem 4. Complements on the Banach/operator space structure of $L^p(\mathcal )$-spaces 5. The Banach isomorphic classification of the spaces $L^p(\mathcal )$ for $\mathcal $ hyperfinite semi-finite 6. $L^p(\mathcal )$-isomorphism results for $\mathcal $ a type III hyperfinite or a free group von Neumann algebra

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

9781470403744 (online)


Lp spaces.
Normed linear spaces.
Von Neumann algebras.
Noncommutative function spaces.

QA3 QA323 / .A57 no. 776

510 s 515/.73

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