A transference method in quantum probability
Operator Algebras
2010-03-03 v2 Probability
Abstract
Working with a rather general notion of independence, we provide a transference method which allows to compare the p-norm of sums of independent copies with the p-norm of sums of free copies. Our main technique is to construct explicit operator space Lp embeddings preserving independence to reduce the problem to L1, where some recent results by the first-named author can be used. We find applications for noncommutative Khincthine/Rosenthal type inequalities and for noncommutative Lp embedding theory.
Cite
@article{arxiv.0802.1593,
title = {A transference method in quantum probability},
author = {Marius Junge and Javier Parcet},
journal= {arXiv preprint arXiv:0802.1593},
year = {2010}
}
Comments
42 pages