Random rearrangements and operators
泛函分析
2008-02-03 v2 概率论
摘要
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.
引用
@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}
}
备注
Also available at http://www.math.missouri.edu/~stephen/preprints/