Abstract of a paper by Marius Junge and Javier Parcet
This is an announcement for the paper "Operator space Lp embedding theory I" by Marius Junge and Javier Parcet. Abstract: Given any $1 < q \le 2$, we use new free probability techniques to construct a completely isomorphic embedding of $\ell_q$ (equipped with its natural operator space structure) into the predual of a sufficiently large QWEP von Neumann algebra. Archive classification: math.OA math.PR Mathematics Subject Classification: 46L07; 46L51; 46L52; 46L54 Remarks: This is the most accessible part of our paper Operator space embedding of Lq into Lp, 28 pages. The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0706.0550 or http://arXiv.org/abs/0706.0550 or by email in unzipped form by transmitting an empty message with subject line uget 0706.0550 or in gzipped form by using subject line get 0706.0550 to: math@arXiv.org.
participants (1)
-
Dale Alspach