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arXiv:1901.05504 [math.FA]AbstractReferencesReviewsResources

Characterizations of certain means of positive operators

Lajos Molnar

Published 2019-01-16Version 1

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 $C^*$-algebra.

Comments: to appear in Linear Algebra Appl
Categories: math.FA
Subjects: 47A64, 47B49, 26E60
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