Characterizations of certain means of positive operators
classification
🧮 math.FA
keywords
meanspositivealgebracharacterizationsconedefiniteoperatorsarithmetic
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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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