Random rearrangements and operators
Functional Analysis
2008-02-03 v2 Probability
Abstract
Consider an n by n matrix x_ij, and consider the quantity || x_{i,pi(i)} ||_X where X is a symmetric sequence space as a random variable where the permutation pi is chosen randomly. This was considered by Kwapien and Schutt, and we extend their results to rearrangement invariant spaces. We also consider the property of D and D^* convexity for rearrangement invariant spaces.
Cite
@article{arxiv.math/9704213,
title = {Random rearrangements and operators},
author = {Evgueni M. Semenov and Stephen J. Montgomery-Smith},
journal= {arXiv preprint arXiv:math/9704213},
year = {2008}
}
Comments
Also available at http://www.math.missouri.edu/~stephen/preprints/