Abstract
LetS be a weakly compact subset of a Banach spaceB. We show that of all points inB which have farthest points inS contains a denseG 5 ofB. Also, we give a necessary and sufficient condition for bounded closed convex sets to be the closed convex hull of their farthest points in reflexive Banach spaces.
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Lau, KS. Farthest points in weakly compact sets. Israel J. Math. 22, 168–174 (1975). https://doi.org/10.1007/BF02760164
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DOI: https://doi.org/10.1007/BF02760164