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Bessel and Grüss Type Inequalities in Inner Product Modules over Banach -Algebras

Ghazanfari, Amir G and Dragomir, Sever S (2011) Bessel and Grüss Type Inequalities in Inner Product Modules over Banach -Algebras. Journal of Inequalities and Applications, 2011. pp. 1-16. ISSN 1025-5834 (print) 1029-242X (online)

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Abstract

We give an analogue of the Bessel inequality and we state a simple formulation of the Gruss type inequality in inner product C∗-modules, which is a refinement of it. We obtain some further generalization of the Gruss type inequalities in inner product modules over proper H∗-algebras and unital Banach ∗-algebras for C∗-seminorms and positive linear functionals.

Item Type: Article
Uncontrolled Keywords: ResPubID22841, Bessel inequality, Gruss type inequality, inner product
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0102 Applied Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Depositing User: VUIR
Date Deposited: 26 Jun 2012 03:23
Last Modified: 11 Feb 2015 05:55
URI: http://vuir.vu.edu.au/id/eprint/7626
DOI: 10.1155/2011/562923
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Citations in Scopus: 2 - View on Scopus

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