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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Grüss type inequalities in inner product modules

Author(s): Dijana Ilisevic; Sanja Varosanec
Journal: Proc. Amer. Math. Soc. 133 (2005), 3271-3280.
MSC (2000): Primary 46L08, 46H25; Secondary 46CXX, 26D99
Posted: May 2, 2005
MathSciNet review: 2161149
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Abstract | References | Similar articles | Additional information

Abstract: In this paper we give some properties of a generalized inner product in modules over H*-algebras and C*-algebras and we obtain inequalities of Grüss type.


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Additional Information:

Dijana Ilisevic
Affiliation: Department of Mathematics, University of Zagreb, Bijenicka 30, P. O. Box 335, 10002 Zagreb, Croatia
Email: ilisevic@math.hr

Sanja Varosanec
Affiliation: Department of Mathematics, University of Zagreb, Bijenicka 30, P. O. Box 335, 10002 Zagreb, Croatia
Email: varosans@math.hr

DOI: 10.1090/S0002-9939-05-07937-2
PII: S 0002-9939(05)07937-2
Keywords: Generalized inner product, inner product H*-module, inner product C*-module, Cauchy-Schwarz inequality, Gr\"uss inequality
Received by editor(s): June 11, 2004
Posted: May 2, 2005
Communicated by: David R. Larson
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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