TY - BOOK AU - Haagerup,U. AU - Rosenthal,Haskell P. AU - Sukochev,F.A. TI - Banach embedding properties of non-commutative Lp-spaces T2 - Memoirs of the American Mathematical Society, SN - 9781470403744 (online) AV - QA3QA323 .A57 no. 776 U1 - 510 s515/.73 21 PY - 2003/// CY - Providence, R.I. PB - American Mathematical Society KW - Lp spaces KW - Normed linear spaces KW - Von Neumann algebras KW - Noncommutative function spaces N1 - "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 $L^1(\mathcal {N})$; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0776 UR - http://dx.doi.org/10.1090/memo/0776 ER -