Refinements and reverses of means inequalities for Hilbert space operators
type: Item
instance of: scholarly article
title: Refinements and reverses of means inequalities for Hilbert space operators
zbMATH Open document ID: 1276.47021
author: Fuad Kittaneh
author: Mario Krnić
author: Neda Lovričević
author: Omar Hirzallah
author: J. Pečarić
published in: Banach Journal of Mathematical Analysis
publication date: 2013-03-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bjma/1363784220
review text: This paper discusses improvements of a series of inequalities for Hilbert space operators. The authors define a functional that measures the difference between the classical arithmetic and geometric means and also deduce some significant scalar inequalities. Section 3 provides, under certain conditions, improvements of the series of inequalities and establishes the lower bound for the difference between the arithmetic and geometric operator means. As an application, in Section 4, the authors establish an improved variant of an inequality concerning the Heinz operator mean. In the final section, the authors present some eigenvalue inequalities for differences of certain operator means.
reviewed by: V. Lokesha
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 47B15
Mathematics Subject Classification ID: 26D20
zbMATH DE Number: 6147456
zbMATH Keywords: positive operator
zbMATH Keywords: compact operator
zbMATH Keywords: operator mean
zbMATH Keywords: refinement
zbMATH Keywords: eigenvalue
MaRDI profile type: Publication
OpenAlex ID: W2050272357
cites work: Q5690490
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cites work: Inequalities involving the arithmetic and geometric operator means
cites work: Q5628745
DOI: 10.15352/BJMA/1363784220
description: scientific article; zbMATH DE number 6147456