Research Repository

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

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

Full text for this resource is not available from the Research Repository.

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
Uncontrolled Keywords: ResPubID14239, inner product spaces, norms, Bessel's inequality, Boas-Bellman and Bombieri inequalities, bounded linear operators, numerical radius
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0103 Numerical and Computational Mathematics
SEO Classification > 9399 Other Education and Training
Depositing User: VUIR
Date Deposited: 04 May 2012 04:31
Last Modified: 04 May 2012 04:31
URI: http://vuir.vu.edu.au/id/eprint/3250
ePrint Statistics: View download statistics for this item
Citations in Scopus: 2 - View on Scopus

Repository staff only

View Item View Item

Search Google Scholar