Bessel and Grüss type inequalities in inner product modules over Banach \(\ast \)-algebras
type: Item
instance of: scholarly article
title: Bessel and Grüss type inequalities in inner product modules over Banach \(\ast \)-algebras
zbMATH Open document ID: 1223.46054
DOI: 10.1155/2011/562923
published in: Journal of Inequalities and Applications
publication date: 2011-05-13T00:00:00Z
full work available at URL: https://eudml.org/doc/225653
review text: This interesting paper may be regarded as a continuation of the previous work of the same authors [Linear Algebra Appl. 434, No.~4, 944--956 (2011; Zbl 1218.46027)]. They give further generalizations of Grüss type inequalities as well as Bessel type inequalities in inner product modules over proper \(H^*\)-algebras, \(C^*\)-algebras and unital Banach \(*\)-algebras. The interested reader is referred to \textit{S. Banić} and \textit{D. Ilišević} [Proc. Edinb. Math. Soc., II. Ser. 50, No.~1, 23--36 (2007; Zbl 1160.46038)] and \textit{S. S. Dragomir}, \textit{M. Khosravi} and \textit{M. S. Moslehian} [Linear Multilinear Algebra 58, No.~7--8, 967--975 (2010; Zbl 1210.46043)] for other results in this context.
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 46L08
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46H25
Mathematics Subject Classification ID: 26D99
Mathematics Subject Classification ID: 46C99
zbMATH DE Number: 5887688
zbMATH Keywords: inner product module
zbMATH Keywords: Bessel inequality
zbMATH Keywords: Grüss inequality
zbMATH Keywords: \(C^*\)-algebra
zbMATH Keywords: \(H^*\)-algebra
zbMATH Keywords: Banach \(*\)-algebra
Wikidata QID: Q59266766
author: Amir Ghasem Ghazanfari
author: Silvestru Sever Dragomir
MaRDI profile type: Publication
OpenAlex ID: W2124873814
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description: scientific article; zbMATH DE number 5887688