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 $\mathcal N$ hyperfinite semi-finite $L^p(\mathcal N)$-isomorphism results for $\mathcal N$ a type III hyperfinite or a free group von Neumann algebra Bibliography