The Hypo-Euclidean Norm of an n-Tuple of Vectors in Inner Product Spaces and Applications
Download
Download
Download
Full text for this resource is not available from the Research Repository.
Export
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 | 11 - View on Scopus |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)