On The Farthest Point Problem In Hilbert Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v16i4.4919Keywords:
Farthest points, Uniquely remotal setsAbstract
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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