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Eigenvalues inequalities for convex and logconvex functions

Jaspal Singh Aujla Jean-Christophe Bourin
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Abstract

Eigenvalues inequalities involving (log) convex/concav functions and Hermitian matrices, positive unital maps are considered. Simple proofs of Bhatia-Kittaneh inequality and Naimark dilation theorem are given.

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Jaspal Singh Aujla Jean-Christophe Bourin. 2007-01-11. Eigenvalues inequalities for convex and logconvex functions. https://arxiv.org/abs/math/0601757

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