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

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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)

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7626
DOI 10.1155/2011/562923
Official URL http://www.journalofinequalitiesandapplications.co...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID22841, Bessel inequality, Gruss type inequality, inner product
Citations in Scopus 2 - View on Scopus
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