On the hyperBanach spaces

Authors

  • P. Raja Shahid Beheshti University - Department of Mathematics
  • S.M. Vaezpour Amirkabir University of Technology - Department of Mathematics and Computer Sciences

Keywords:

norm, open map, banach space, hypervector space

Abstract

In this paper we are going to define hyperBanach spaces and prove some interesting theorems such as open mapping theorem, closed graph theorem, and uniform boundedness principal in these spaces. Also we define a quasinorm over hypervector spaces that converts a factor hypervector space into a normed hyper vector space.

Cover of n°28 Italian Journal of Pure and Applied Mathematics

Downloads

Published

2011-07-19

How to Cite

Raja, P., & Vaezpour, S. (2011). On the hyperBanach spaces. Italian Journal of Pure and Applied Mathematics, 28, 261–272. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5989

Issue

N°28 - July 2011

Section

Articoli - Forum Editrice

License

Copyright (c) 2011 P. Raja, S.M. Vaezpour

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

Similar Articles

<< < 1 2 3 4 > >> 

You may also start an advanced similarity search for this article.