Abstract of a paper by Marius Junge and Christian Le Merdy
This is an announcement for the paper "Dilations and rigid factorisations on noncommutative L^p-spaces" by Marius Junge and Christian Le Merdy. Abstract: We study some factorisation and dilation properties of completely positive maps on noncommutative L^p-spaces. We show that Akcoglu's dilation theorem for positive contractions on classical (=commutative) L^p-spaces has no reasonable analog in the noncommutative setting. Our study relies on non symmetric analogs of Pisier's operator space valued noncommutative L^p-spaces that we investigate in the first part of the paper. Archive classification: math.FA math.OA Mathematics Subject Classification: 46L07, 46L51, 48B28 Remarks: To be published in Journal of Functional Analysis The source file(s), JLRevised.tex: 91495 bytes, is(are) stored in gzipped form as 0803.4410.gz with size 26kb. The corresponding postcript file has gzipped size 178kb. Submitted from: clemerdy@univ-fcomte.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0803.4410 or http://arXiv.org/abs/0803.4410 or by email in unzipped form by transmitting an empty message with subject line uget 0803.4410 or in gzipped form by using subject line get 0803.4410 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu