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The Hypo-Euclidean Norm of an n-Tuple of Vectors in Inner Product Spaces and Applications

Dragomir, Sever S (2006) The Hypo-Euclidean Norm of an n-Tuple of Vectors in Inner Product Spaces and Applications. Research report collection, 9 (4).

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Abstract

The concept of hypo-Euclidean norm for an n−tuple of vectors in inner product spaces is introduced. Its fundamental properties are established. Applications for n−tuples of bounded linear operators defined on Hilbert spaces are also given.

Item Type: Article
Uncontrolled Keywords: inner product spaces, norms, Bessel's inequality, Boas-Bellman and Bombieri inequalities, bounded linear operators, numerical radius
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 11 Feb 2012 04:49
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17507
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