Some remarks on farthest points

被引：2
|
作者：
Montesinos, Vicente [1 ]
Zizler, Peter [2 ]
Zizler, Vaclav [3 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain
[2] Mt Royal Univ, Dept Math Phys & Engn, Calgary, AB, Canada
[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2011年 / 105卷 / 01期
关键词：
Farthest points; Strongly exposed points; Generic differentiability; Convex functions; UNIFORMLY CONVEX;
D O I：
10.1007/s13398-011-0012-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use renormings and generic differentiability of convex functions to prove some results on farthest points in sets in Banach spaces. As a corollary, we obtain an alternative proof of the Lindenstrauss-Troyanski result on representation of weakly compact convex sets by means of strongly exposed points. We use this approach to simplify former proofs of several known results in this area.
引用
收藏
页码：119 / 131
页数：13
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