New sharp inequalities for operator means
Functional Analysis
2018-04-06 v3
Abstract
New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality. As a direct consequence, we extend the operator P\'olya-Szeg\"o inequality to arbitrary operator means. Furthermore, we obtain some new lower and upper bounds for the Tsallis relative operator entropy, operator monotone functions and positive linear maps.
Cite
@article{arxiv.1801.08634,
title = {New sharp inequalities for operator means},
author = {Shigeru Furuichi and Hamid Reza Moradi and Mohammad Sababheh},
journal= {arXiv preprint arXiv:1801.08634},
year = {2018}
}
Comments
to appear in Linear and Multilinear Algebra