希尔伯特空间中的最远点问题

IF 1 Q1 MATHEMATICS European Journal of Pure and Applied Mathematics Pub Date : 2023-10-30 DOI:10.29020/nybg.ejpam.v16i4.4919

Abdelrahman Yousef, Roshdi Khalil, Abdullah Tallafha, B. Mutabagani

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摘要

为了解决最远点问题，我们引入了一类新的唯一远集。也就是唯一距离集的类。然后，我们证明了在可分希尔伯特空间中，每一个唯一的距离集合都是单态的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On The Farthest Point Problem In Hilbert Spaces

In an attempt to solve the farthest point problem, we introduce a new class of uniquely remotal sets. Namely, the class of uniquely distant sets. Then, we prove that in a separable Hilbert space, every uniquely distant set is a singleton.

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