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2015 Positivity, Betweenness, and Strictness of Operator Means
Pattrawut Chansangiam
Abstr. Appl. Anal. 2015: 1-5 (2015). DOI: 10.1155/2015/851568

Abstract

An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property. It is well known that there are one-to-one correspondences between operator means, operator monotone functions, and Borel measures. In this paper, we provide various characterizations for the concepts of positivity, betweenness, and strictness of operator means in terms of operator inequalities, operator monotone functions, Borel measures, and certain operator equations.

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Pattrawut Chansangiam. "Positivity, Betweenness, and Strictness of Operator Means." Abstr. Appl. Anal. 2015 1 - 5, 2015. https://doi.org/10.1155/2015/851568

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Published: 2015
First available in Project Euclid: 15 June 2015

zbMATH: 1334.47001
MathSciNet: MR3354338
Digital Object Identifier: 10.1155/2015/851568

Rights: Copyright © 2015 Hindawi

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