Matrix inequalities from a two variables functional
Functional Analysis
2016-06-14 v3
Abstract
Several matrix/operator inequalies are given. Most of them are unexpected extensions of the Araki Log-majorization theorem, obtained thanks to a new log-majorization for positive linear maps and normal operators (Theorem 2.9). The main idea and technical tool is a two variables log-convex norm functional (Theorem 1.2).
Cite
@article{arxiv.1511.06977,
title = {Matrix inequalities from a two variables functional},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:1511.06977},
year = {2016}
}
Comments
Final version, to appear in International J. Math: Two corollaries on Schur products have been added at the end of Section 2