Dilations and rigid factorisations on noncommutative L^p-spaces
Operator Algebras
2008-04-01 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.0803.4410,
title = {Dilations and rigid factorisations on noncommutative L^p-spaces},
author = {Marius Junge and Christian Le Merdy},
journal= {arXiv preprint arXiv:0803.4410},
year = {2008}
}
Comments
To be published in Journal of Functional Analysis