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arXiv · 1203.1154

A note on the Jensen inequality for self-adjoint operators. II

Tomohiro Hayashi
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Abstract

This is a continuation of our previous paper. We consider a certain order-like relation for positive operators on a Hilbert space. This relation is defined by using the Jensen inequality with respect to the square-root function. We show that this relation is antisymmetric if the operators are invertible.

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Tomohiro Hayashi. 2012-03-06. A note on the Jensen inequality for self-adjoint operators. II. https://arxiv.org/abs/1203.1154

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