Characterizations of certain means of positive operators
Functional Analysis
2019-01-18 v1
Abstract
In this paper we present some characterizations for quasi-arithmetic operator means (among them the arithmetic and harmonic means) on the positive definite cone of the full algebra of Hilbert space operators, and also for the Kubo-Ando geometric mean on the positive definite cone of a general non-commutative -algebra.
Keywords
Cite
@article{arxiv.1901.05504,
title = {Characterizations of certain means of positive operators},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:1901.05504},
year = {2019}
}
Comments
to appear in Linear Algebra Appl