Characterizations of denting points

Lin, Bor-Luh; Lin, Pei-Kee; Troyanski, S. L.

doi:10.1090/S0002-9939-1988-0928972-1

Characterizations of denting points
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by Bor-Luh Lin, Pei-Kee Lin and S. L. Troyanski PDF

Proc. Amer. Math. Soc. 102 (1988), 526-528 Request permission

Abstract:

Let $x$ be a PC (point of continuity) for a bounded closed convex set $K$ of a Banach space. Then $x$ is a denting point of $K$ if and only if $x$ is an extreme point (resp. strong extreme point; weak*-extreme point) of $K$. A new definition for denting point is also given.

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