Upper Bounds for the Euclidean Operator Radius and Applications

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. Nat...

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Published in:Journal of inequalities and applications 2008-01, Vol.2008 (1), p.472146-472146
Main Author: Dragomir, S S
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Language:English
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Decomposition
Hilbert space
Mathematics
Studies
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description 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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subjects Decomposition
Hilbert space
Mathematics
Studies
title Upper Bounds for the Euclidean Operator Radius and Applications
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