Modulus of convexity for operator convex functions
Quantum Physics
2015-06-17 v3 Mathematical Physics
math.MP
Abstract
Given an operator convex function , we obtain an operator-valued lower bound for , . The lower bound is expressed in terms of the matrix Bregman divergence. A similar inequality is shown to be false for functions that are convex but not operator convex.
Cite
@article{arxiv.1310.0746,
title = {Modulus of convexity for operator convex functions},
author = {Isaac H. Kim},
journal= {arXiv preprint arXiv:1310.0746},
year = {2015}
}
Comments
5 pages, change of title. The new version shows that the main result of the original paper cannot be extended to convex functions that are not operator convex!