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Upper Bounds for the Euclidean Operator Radius and Applications
Journal of Inequalities and Applications volume 2008, Article number: 472146 (2008)
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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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