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Upper Bounds for the Euclidean Operator Radius and Applications

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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Correspondence to S. S. Dragomir.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Dragomir, S.S. Upper Bounds for the Euclidean Operator Radius and Applications. J Inequal Appl 2008, 472146 (2008). https://doi.org/10.1155/2008/472146

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  • DOI: https://doi.org/10.1155/2008/472146

Keywords

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  • Publisher Note
  • Operator Radius
  • Euclidean Operator