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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Bibliographic Details
Published in:Journal of inequalities and applications 2008-01, Vol.2008 (1), p.472146-472146
Main Author: Dragomir, S S
Format: Article
Language:English
Subjects:
Decomposition
Hilbert space
Mathematics
Studies
Online Access:Get full text
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Summary: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.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/1029-242X-2008-472146