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

[thumbnail of 1029-242X-2011-562923.pdf]
1029-242X-2011-562923.pdf - Published Version (538kB)
Restricted to Repository staff only

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.

Dimensions Badge

Altmetric Badge

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
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login