Completely strong superadditivity of generalized matrix functions
Abstract
We prove that generalized matrix functions satisfy a blockmatrix strong superadditivity inequality over the cone of positive semidefinite matrices. Our result extends a recent result of PaksoyTurkmenZhang (V. Paksoy, R. Turkmen, F. Zhang, Inequalities of generalized matrix functions via tensor products, Electron. J. Linear Algebra 27 (2014) 332341.). As an application, we obtain a short proof of a classical inequality of Thompson (1961) on block matrix determinants.
 Publication:

arXiv eprints
 Pub Date:
 October 2014
 arXiv:
 arXiv:1410.1958
 Bibcode:
 2014arXiv1410.1958L
 Keywords:

 Mathematics  Functional Analysis;
 15A45;
 15A69
 EPrint:
 6 pages, no figures