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arXiv · math/0601318

Hermitian operators and convex functions

Jean-Christophe Bourin
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Abstract

Several inequalities for eigenvalues involving convex combinations and compressions are given. These inequalities are matrix version of the basic convexity inequality f((a+b)/2) < (f(a)+f(b))/2.

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Jean-Christophe Bourin. 2006-01-16. Hermitian operators and convex functions. https://arxiv.org/abs/math/0601318

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