On the Pólya-Szegö operator inequality

Year 2020, Volume: 49 Issue: 5, 1744 - 1752, 06.10.2020

Trung Hoa Dinh Hamid Reza Moradı , Mohammad Sababheh

https://doi.org/10.15672/hujms.547158

Abstract

In this paper, we present generalized Pólya-Szegö type inequalities for positive invertible operators on a Hilbert space for arbitrary operator means between the arithmetic and the harmonic means. As applications, we present operator Grüss, Diaz–Metcalf, and Klamkin–McLenaghan inequalities.

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Keywords

Operator inequality, operator mean, positive linear map, Pólya-Szegö inequality, operator monotone functions

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