A note on the Jensen inequality for self-adjoint operators. II
Functional Analysis
2012-03-07 v1
Abstract
This is a continuation of our previous paper. We consider a certain order-like relation for positive operators on a Hilbert space. This relation is defined by using the Jensen inequality with respect to the square-root function. We show that this relation is antisymmetric if the operators are invertible.
Cite
@article{arxiv.1203.1154,
title = {A note on the Jensen inequality for self-adjoint operators. II},
author = {Tomohiro Hayashi},
journal= {arXiv preprint arXiv:1203.1154},
year = {2012}
}
Comments
10 pages