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Convexity or concavity inequalities for Hermitian operators

Jean-Christophe Bourin
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Abstract

Matrix versions of some basic convexity inequalities are given. Further results on the same topic are proved in the recent papers on arxiv: 1. Hermitian operators and convex functions, 2. A concavity inequality for symmetric norms, 3. Eigenvalue inequalities for convex and log-convex functions (with Jaspal Singh AUJLA).

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Jean-Christophe Bourin. 2006-04-09. Convexity or concavity inequalities for Hermitian operators. https://arxiv.org/abs/math/0604201

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