Noncommutative Burkholder/Rosenthal inequalities II: applications
Operator Algebras
2007-05-23 v1 Functional Analysis
Probability
Abstract
We show norm estimates for the sum of independent random variables in noncommutative -spaces for following our previous work. These estimates generalize the classical Rosenthal inequality in the commutative case. Among applications, we derive an equivalence for the -norm of the singular values of a random matrix with independent entries, and characterize those symmetric subspaces and unitary ideals which can be realized as subspaces of a noncommutative for .
Cite
@article{arxiv.0705.1952,
title = {Noncommutative Burkholder/Rosenthal inequalities II: applications},
author = {Marius Junge and Quanhua Xu},
journal= {arXiv preprint arXiv:0705.1952},
year = {2007}
}