arXiv:1610.04162 Abstract | arXiv Analytics

arXiv:1610.04162 [math.FA]Abstract References Reviews Resources

An extension of the Pólya--Szegö operator inequality

D. T. Hoa, M. S. Moslehian, C. Conde, P. Zhang

Published 2016-10-13Version 1

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.

Comments: 11 pages, to appear in Expos. Math

Categories: math.FA, math.OA

Subjects: 46L05, 47A30, 47A63

Keywords: operator inequality, operator geometric mean, arbitrary operator mean, type inequality, related operator inequalities

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