Lacunary matrices
泛函分析
2017-08-21 v1 组合数学
摘要
We study unconditional subsequences of the canonical basis e_rc of elementary matrices in the Schatten class S^p. They form the matrix counterpart to Rudin's Lambda(p) sets of integers in Fourier analysis. In the case of p an even integer, we find a sufficient condition in terms of trails on a bipartite graph. We also establish an optimal density condition and present a random construction of bipartite graphs. As a byproduct, we get a new proof for a theorem of Erdos on circuits in graphs.
引用
@article{arxiv.math/0102211,
title = {Lacunary matrices},
author = {Asma Harcharras and Stefan Neuwirth and Krzysztof Oleszkiewicz},
journal= {arXiv preprint arXiv:math/0102211},
year = {2017}
}
备注
14 pages