NEW RESULTS ON REMOTALITY IN BANACH SPACES

Authors

  • M. Sababheh Princess Sumaya University For Technology - Department of Science and Humanities
  • R. Khalil Jordan University Al Jubaiha - Department of Mathematics

Keywords:

remotal sets, approximation theory in Banach spaces

Abstract

A set E in a Banach space X is called remotal if for each x ∈ X, there exists an e ∈ E such that ∥x− e∥ = sup{∥x−e∥ : e ∈ E}.  If e is unique, E is called uniquely remotal.  One of the main results of this paper is: a weakly closed bounded set E in a reflexive Banach space is uniquely remotal if and only if the weak closed convex hull of E is uniquely remotal. 

Cover of n°30 Italian Journal of Pure and Applied Mathematics

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Published

2013-05-24

How to Cite

Sababheh, M., & Khalil, R. (2013). NEW RESULTS ON REMOTALITY IN BANACH SPACES. Italian Journal of Pure and Applied Mathematics, 30, 59–66. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6116

Issue

N°30 - May 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 M. Sababheh, R. Khalil

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)