Upper Bounds for the Euclidean Operator Radius and Applications

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Dragomir, Sever S ORCID: 0000-0003-2902-6805 (2008) Upper Bounds for the Euclidean Operator Radius and Applications. Journal of Inequalities and Applications, 2008. pp. 1-20. ISSN 1025-5834

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/3638
DOI 10.1155/2008/472146
Official URL http://www.hindawi.com/journals/jia/2008/472146/
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID15178. sharp upper bounds, Euclidean operator radius, n-tuple of bounded linear operators, Hilbert space, Bessel inequality, natural applications
Citations in Scopus 1 - View on Scopus
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