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

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Dragomir, Sever S (2007) The Hypo-Euclidean Norm of an n-Tuple of Vectors in Inner Product Spaces and Applications. Journal of Inequalities in Pure and Applied Mathematics, 8 (2). ISSN 1443-5756

Abstract

The concept of hypo-Euclidean norm for an n-tuple of vectors in inner product spaces is introduced. Its fundamental properties are established. Upper bounds via the Boas-Bellman [1]-[3] and Bombieri [2] type inequalities are provided. 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/3250
Official URL http://www.emis.de/journals/JIPAM/images/084_07_JI...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Historical > SEO Classification > 9399 Other Education and Training
Keywords ResPubID14239, inner product spaces, norms, Bessel's inequality, Boas-Bellman and Bombieri inequalities, bounded linear operators, numerical radius
Citations in Scopus 9 - View on Scopus
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