An asymmetric Kadison's inequality
Functional Analysis
2010-03-12 v1
Abstract
Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation.
Cite
@article{arxiv.1003.2338,
title = {An asymmetric Kadison's inequality},
author = {Jean-Christophe Bourin and Éric Ricard},
journal= {arXiv preprint arXiv:1003.2338},
year = {2010}
}
Comments
To appear in LAA