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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/17507
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inner product spaces, norms, Bessel's inequality, Boas-Bellman and Bombieri inequalities, bounded linear operators, numerical radius
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