Upper Bounds for the Euclidean Operator Radius and Applications

[thumbnail of 472146.pdf]
Preview
472146.pdf - Published Version (263kB) | Preview
Available under license: Creative Commons Attribution

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.

Dimensions Badge

Altmetric Badge

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
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login