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BESSEL- AND GRÜSS-TYPE INEQUALITIES IN INNER PRODUCT MODULES

Published online by Cambridge University Press:  09 February 2007

Senka Banić ,
Dijana Ilišević  and
Sanja Varošanec
Senka Banić
Affiliation:
Faculty of Civil Engineering and Architecture, University of Split, Matice hrvatske 15, 21000 Split, Croatia (senka.banic@gradst.hr)
Dijana Ilišević
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia (ilisevic@math.hr; varosans@math.hr)
Sanja Varošanec
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia (ilisevic@math.hr; varosans@math.hr)
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Abstract

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In this paper we give Bessel- and Grüss-type inequalities in an inner product module over a proper $H^*$-algebra or a $C^*$-algebra.

Keywords

Primary 46L0846H25Secondary 46CXX26D99Bessel inequalityGrüss inequalityinner product $H^*$-moduleinner product $C^*$-module
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 1 , February 2007 , pp. 23 - 36
Copyright
Copyright © Edinburgh Mathematical Society 2007