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

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

2012-03-06

arxiv.org/abs/1203.1154v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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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