Matrix inequalities from a two variables functional

2015/11/22 by Bourin, Jean-Christophe, Lee, Eun-Young · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1511.06977

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).

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• On Araki-Type Trace Inequalities

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