Another Simple Proof of a Theorem of Chandler Davis
泛函分析
2007-05-23 v3 环与代数
摘要
In 1957, Chandler Davis proved that unitarily invariant convex functions on the space of hermitian matrices are precisely those which are convex and symmetrically invariant on the set of diagonal matrices. We give a simple perturbation theoretic proof of this result. (Davis' argument was also very short, though based on completely different ideas).
引用
@article{arxiv.math/0208223,
title = {Another Simple Proof of a Theorem of Chandler Davis},
author = {Igor Rivin},
journal= {arXiv preprint arXiv:math/0208223},
year = {2007}
}
备注
3 pages