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A classification for 2-isometries of noncommutative Lp-spaces
Marius Junge, Zhong-Jin Ruan, David Sherman
In this paper we extend previous results of Banach, Lamperti and Yeadon on isometries of Lp-spaces to the non-tracial case first introduced by Haagerup. Specifically, we use operat…
On ${\OL}_{\infty}$ structure of nuclear -algebras
M. Junge, N. Ozawa, Z. J. Ruan
We study the local operator space structure of nuclear -algebras. It is shown that a -algebra is nuclear if and only if it is an $\OL_{\infty, \la}$ space for some (and a…
Approximation Properties for Non-commutative L_p-Spaces Associated with Discrete Groups
M. Junge, Z. -J. Ruan
Let . It is shown that if is a discrete group with the approximation property introduced by Haagerup and Kraus, then the non-commutative space has…
Integral mappings and the principle of local reflexivity for noncommutative L^1-spaces
Edward G. Effros, Marius Junge, Zhong-Jin Ruan
The operator space analogue of the {\em strong form} of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any -algebraic…