ON THE FARTHEST POINT PROBLEM IN BANACH SPACES
Keywords:
Uniquely remotal, Singleton, Banach space, farthest point problem.Abstract
A long standing conjecture in theory of Banach spaces is:" Every uniquely remotal set in a Banach is a singleton". This is known as the farthest point Conjecture. In an attempt to solve this problem, we give our contribution toward solving it, in the positive direction, by proving that every such subset E in the sequence space ` 1 is a singleton.
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Published
2021-01-28
How to Cite
A. YOUSEF, R. KHALIL, & B. MUTABAGANI. (2021). ON THE FARTHEST POINT PROBLEM IN BANACH SPACES. Journal of Computational Analysis and Applications (JoCAAA), 29(1), 123–128. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/135
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