On the hyperBanach spaces

Autori

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

Parole chiave:

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.

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Pubblicato

2011-07-19

Come citare

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

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Articoli - Forum Editrice

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