SOME PROPERTIES OF A NEW KIND OF DOWNWARD SETS IN CERTAIN BANACH SPACES

Authors

  • Sh. Al-Sharif Yarmouk University - Department of Mathematics
  • M. Al-Qahtani Yarmouk University - Department of Mathematics

Keywords:

Downwards sets, proximinal sets, Banach lattices

Abstract

Let X be a Banach lattice with strong unit.  In this paper, we give some characterizations of certain kind of downward sets in the sequence space \(\ell^{\infty}\)(X). Further some results on best approximation of those sets are presented.

Cover of n°38 Italian Journal of Pure and Applied Mathematics

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Published

2017-07-31

How to Cite

Al-Sharif, S., & Al-Qahtani, M. (2017). SOME PROPERTIES OF A NEW KIND OF DOWNWARD SETS IN CERTAIN BANACH SPACES. Italian Journal of Pure and Applied Mathematics, 37, 402–413. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6793

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Sh. Al-Sharif, M. Al-Qahtani

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)

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