Characterizations of denting points

Author:

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

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

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2. Property (𝐻) in Lebesgue-Bochner function spaces;Lin, Bor-Luh;Proc. Amer. Math. Soc.,1985

3. Some geometric and topological properties of the unit sphere in a Banach space;Lin, Bor-Luh;Math. Ann.,1986

4. A characterization of denting points of a closed bounded convex set;Lin, Bor-Luh,1986

5. On the structure of nondentable closed bounded convex sets;Rosenthal, Haskell;Adv. in Math.,1988

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