COMPARISONS OF HEINZ OPERATOR MEANS WITH DIFFERENT PARAMETERS

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DOI:

https://doi.org/10.22452/mjs.sp2019no1.3

Keywords:

Heinz means, positive operator, unitarily invariant norm, inequality, monotonicity principle

Abstract

This article aims to present new comparisons of Heinz operator means with different parameters by the help of appropriate scalar comparisons and the monotonicity principle for bounded self-adjoint Hilbert space operators. In particular, for any positive operators, we establish the inequality

where      satisfying

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Published

28-02-2019

Issue

Vol. 38 No. Sp 1 (2019): Special Issue 3rd International Conference of Mathematical Sciences and Statistics (ICMSS2018)

Section

ICMSS2018 (Published)

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