On the Pólya-Szegö operator inequality
arXiv:1805.06218
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.
to appear in Hacet. J. Math. Stat