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arXiv · 1901.05504

Characterizations of certain means of positive operators

Lajos Molnar
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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 $C^*$-algebra.

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Lajos Molnar. 2019-01-16. Characterizations of certain means of positive operators. https://arxiv.org/abs/1901.05504

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