Probabilistic Methods in quantized Banach spaces
by
Marius Junge
University of Illinois at Urbana-Champiagn

Probabilistic methods have been of great importance in Banach space theory and its applications. Investigating matrix-valued analogues of basic facts in Banach space theory can be disturbingly difficult. For example, the quantized analog of l_2, Pisier's operator space OH esn not (cb)-embedd in L_4, and even for an embedding in a noncomutative L_1 one has to resort to von Neumann algebras without a semifinite trace, i.e. exotic integration theory. In this talk I will give an overview about recent progress. Many results are joint work with Javier Parcet.

Date received: January 30, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavi-71.