Open Access Research Article

Upper Bounds for the Euclidean Operator Radius and Applications

SS Dragomir

Author Affiliations

Research Group in Mathematical Inequalities & Applications, School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, Australia

Journal of Inequalities and Applications 2008, 2008:472146 doi:10.1155/2008/472146


The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2008/1/472146


Received:5 September 2008
Accepted:3 December 2008
Published:21 December 2008

© 2008 The Author(s).

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an -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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