Characterizations of certain means of positive operators
arXiv:1901.05504
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.
to appear in Linear Algebra Appl