arXiv Analytics

Sign in

arXiv:math/0604201 [math.FA]AbstractReferencesReviewsResources

Convexity or concavity inequalities for Hermitian operators

Jean-Christophe Bourin

Published 2006-04-09Version 1

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).

Journal: Math. Ineq. Appl. 7 no 4 (2004) 607-620
Categories: math.FA, math.OA
Subjects: 47A30, 47A63, 47A20
Related articles: Most relevant | Search more
arXiv:math/0510067 [math.FA] (Published 2005-10-04)
A concavity inequality for symmetric norms
arXiv:1409.5378 [math.FA] (Published 2014-09-18)
Isometries and Hermitian Operators on Zygmund spaces
arXiv:1409.5381 [math.FA] (Published 2014-09-18)
Isometries and Hermitian operators on $\mathcal{B}_0(\triangle, E)$