An extension of the P\'olya--Szeg\"o operator inequality
Functional Analysis
2017-09-26 v1 Operator Algebras
Abstract
We extend an operator P\'{o}lya--Szeg\"{o} type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pe\v{c}ari\'c method, we present some other related operator inequalities as well.
Keywords
Cite
@article{arxiv.1610.04162,
title = {An extension of the P\'olya--Szeg\"o operator inequality},
author = {D. T. Hoa and M. S. Moslehian and C. Conde and P. Zhang},
journal= {arXiv preprint arXiv:1610.04162},
year = {2017}
}
Comments
11 pages, to appear in Expos. Math