On the farthest point problem in Banach spaces

Autor:	Yousef, A., Khalil, R., Mutabagani, B.
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	If every point in a normed space X admits a unique farthest point in a given bounded subset E, then must E be a singleton?. This is known as the farthest point problem. 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.00294 Zobrazit plný text záznamu View this record from Arxiv