Completely strong superadditivity of generalized matrix functions
Functional Analysis
2014-10-09 v1
Abstract
We prove that generalized matrix functions satisfy a block-matrix strong superadditivity inequality over the cone of positive semidefinite matrices. Our result extends a recent result of Paksoy-Turkmen-Zhang (V. Paksoy, R. Turkmen, F. Zhang, Inequalities of generalized matrix functions via tensor products, Electron. J. Linear Algebra 27 (2014) 332-341.). As an application, we obtain a short proof of a classical inequality of Thompson (1961) on block matrix determinants.
Keywords
Cite
@article{arxiv.1410.1958,
title = {Completely strong superadditivity of generalized matrix functions},
author = {Minghua Lin and Suvrit Sra},
journal= {arXiv preprint arXiv:1410.1958},
year = {2014}
}
Comments
6 pages, no figures