Hermitian operators and convex functions
Operator Algebras
2007-05-23 v2 Functional Analysis
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.
Cite
@article{arxiv.math/0601318,
title = {Hermitian operators and convex functions},
author = {Jean-Christophe Bourin},
journal= {arXiv preprint arXiv:math/0601318},
year = {2007}
}
Comments
to appear in JIPAM vol. 6