Characterizations of certain means of positive operators

2019/01/16 by Molnar, Lajos
#47B49. Secondary: 26E60 #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 47A64

paper · doi:10.48550/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 C^*-algebra.

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