Characterization of equality in a generalized Dunkl-Williams inequality
type: Item
instance of: scholarly article
title: Characterization of equality in a generalized Dunkl-Williams inequality
zbMATH Open document ID: 1230.26013
author: Mohammad Sal Moslehian
author: F. Dadipour
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-10-10T00:00:00Z
review text: Some new generalizations of Dunkl-Williams inequality and its inverse are established in the setting of Hilbert \(C^{*}\)-module. The case of equality in the inequality is presented and well characterized. As applications, the authors present certain new results and obtain in some special cases also known results of a recent paper of \textit{J. Pečarić} and \textit{R. Rajić} [Linear Algebra Appl. 425, No. 1, 16--25 (2007; Zbl 1133.26022)].
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 5956082
zbMATH Keywords: Dunkl--Williams inequality
zbMATH Keywords: triangle inequality
zbMATH Keywords: pre-Hilbert \(C^{*}\)-module
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.05.002
OpenAlex ID: W2094447393
cites work: On some norm equalities in pre-Hilbert \(C^{\ast}\)-modules
cites work: Inner derivations and norm equality
cites work: Dunkl-Williams inequality for operators associated with \(p\)-angular distance
cites work: Generalization of the Pečarić-Rajić inequality in normed linear spaces
cites work: A Simple Norm Inequality
cites work: Sharp triangle inequality and its reverse in Banach spaces
cites work: Q4328332
cites work: Simple Norm Inequalities
cites work: Some remarks on the triangle inequality for norms
cites work: Q4816507
cites work: The Dunkl-Williams inequality in an inner product space
cites work: Q3997462
cites work: The Dunkl-Williams equality in pre-Hilbert \(C^{*}\)-modules
cites work: Q3442313
cites work: Q3135819
DOI: 10.1016/J.JMAA.2011.05.002
description: scientific article; zbMATH DE number 5956082