Farthest points in weakly compact sets |
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| Authors: | Ka-Sing Lau |
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| Affiliation: | 1. Department of Mathematics, University of Pittsburgh, 15260, Pittsburgh, PA., USA
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| 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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