On the Pólya-Szegö operator inequality

Published 16 May 2018 in math.FA | (1805.06218v4)

Abstract: In this paper, we present generalized P\'olya-Szeg\"o 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 Gr\"uss, Diaz--Metcalf and Klamkin--McLenaghan inequalities.

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