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Upper Bounds for the Euclidean Operator Radius and Applications

Dragomir, Sever S (2006) Upper Bounds for the Euclidean Operator Radius and Applications. Research report collection, 9 (2).

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Abstract

The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space. The tools used are provided by several generalisations of Bessel inequality due to Boas-Bellman, Bombieri and the author. Natural applications for the norm and the numerical radius of bounded linear operators on Hilbert spaces are also given.

Item Type: Article
Uncontrolled Keywords: numerical radius, bounded linear operators, Euclidean operator radius
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: 17 Nov 2011 02:43
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17474
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