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

被引：7

作者：

Cheng, Li-Xin ^{[1
]}

Li, Min ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-08-09220-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a property of geometric and topological nature of Gateaux differentiability points and Frechet differentiability points of almost CL-spaces. More precisely, if we denote by M a maximal convex set of the unit sphere of a CL-space X, and by CM the cone generated by M, then all Gateaux differentiability points of X are just boolean OR n-s(CM), and all Frechet differentiability points of X are boolean OR int(C-M) (where n-s(C-M) denotes the non-support points set of C-M).

引用

页码：2445 / 2451

页数：7