English

The Distribution of Non-Commutative Rademacher Series

Functional Analysis 2008-02-03 v2

Abstract

We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm of these series in many rearrangement invariant spaces, generalizing work of Pisier and Rodin and Semyonov.

Keywords

Cite

@article{arxiv.math/9209212,
  title  = {The Distribution of Non-Commutative Rademacher Series},
  author = {Stephen J. Montgomery-Smith},
  journal= {arXiv preprint arXiv:math/9209212},
  year   = {2008}
}