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Upper Bounds for the Euclidean Operator Radius and Applications

Dragomir, Sever S (2008) Upper Bounds for the Euclidean Operator Radius and Applications. Journal of Inequalities and Applications, 2008. pp. 1-20. ISSN 1025-5834

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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 generalizations 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: ResPubID15178. sharp upper bounds, Euclidean operator radius, n-tuple of bounded linear operators, Hilbert space, Bessel inequality, natural applications
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0101 Pure Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Depositing User: VUIR
Date Deposited: 14 Oct 2011 05:27
Last Modified: 14 Oct 2011 05:27
URI: http://vuir.vu.edu.au/id/eprint/3638
DOI: 10.1155/2008/472146
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Citations in Scopus: 0 - View on Scopus

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