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arXiv · 1511.06977

Matrix inequalities from a two variables functional

Jean-Christophe Bourin·Eun-Young Lee
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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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Jean-Christophe Bourin, Eun-Young Lee. 2016-06-13. Matrix inequalities from a two variables functional. https://arxiv.org/abs/1511.06977

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