Open Access

Upper Bounds for the Euclidean Operator Radius and Applications

Journal of Inequalities and Applications20082008:472146

Received: 5 September 2008

Accepted: 3 December 2008

Published: 21 December 2008


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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Authors’ Affiliations

Research Group in Mathematical Inequalities & Applications, School of Engineering & Science, Victoria University, Melbourne, Australia


© S. S. Dragomir. 2008

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