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
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