Identicalness of n-norms
Abstract
In this paper, we discuss the concept of n-norm and n-normed spaces. Further we prove the equality of seven formulae of n-norms on a Hilbert space and eight formulae of n-norms on a separable Hilbert space. An alternative formula of n-norm on the dual of an n-normed space is introduced. Also, we show its equality with two alternative formulae.
- Published
- 25 November 2014
- Volume
- 2014 (2014)
- License
- CC BY 3.0
Copyright © 2014 M.P. Singh, S.R. Meitei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. P. Singh, S. R. Meitei, Identicalness of n-norms, Adv. Inequal. Appl. 2014 (2014), 41.
BibTeX
@article{Singh2014,
author = {Singh, M.P. and Meitei, S.R.},
title = {Identicalness of n-norms},
journal = {Adv. Inequal. Appl.},
volume = {2014},
year = {2014},
pages = {41},
doi = {}
}