Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Extreme points, exposed points, differentiability points in CL-spaces

Author(s): Li-Xin Cheng; Min Li
Journal: Proc. Amer. Math. Soc. 136 (2008), 2445-2451.
MSC (2000): Primary 46B20, 46G05
Posted: February 29, 2008
MathSciNet review: 2390512
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Abstract: This paper presents a property of geometric and topological nature of Gateaux differentiability points and Fréchet differentiability points of almost CL-spaces. More precisely, if we denote by a maximal convex set of the unit sphere of a CL-space , and by $C_{M}$ the cone generated by , then all Gateaux differentiability points of are just $\bigcup$ n-s $(C_{M})$ , and all Fréchet differentiability points of are $\bigcup{\mathrm{int}(C_{M})}$ (where n-s $(C_{M})$ denotes the non-support points set of $C_{M}$ ).

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