paper

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

arXiv:1203.1154

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.

10 pages

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