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New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces

Dragomir, Sever S (2006) New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces. Research report collection, 9 (Supp).

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Abstract

Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the involved operator satisfies the usual conditions. Several new reverse inequalities for the numerical radius of a bounded linear operator are obtained as well.

Item Type: Article
Uncontrolled Keywords: Kantorovich inequality, Grüss inequality, bounded linear operators
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:50
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/18015
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