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Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces

Dragomir, Sever S (2005) Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces. Research report collection, 8 (Supp).

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Abstract

In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff- Clarke, Dragomir-Sándor and the author.

Item Type: Article
Uncontrolled Keywords: numerical range, numerical radius, bounded linear operators, Hilbert spaces
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: 13 Feb 2012 06:46
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/18024
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