Antiproximinal convex bounded sets in the space c0(Γ) equipped with the day norm

被引：0

作者：

V. S. Balaganskii

机构：

[1] Russian Academy of Sciences,Institute of Mathematics and Mechanics, Ural Division

来源：

Mathematical Notes | 2006年 / 79卷

关键词：

antiproximinal set; Banach space; Gâteaux differentiability; Day norm; the Hahn—Banach theorem; weakly compact set;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct a convex smooth antiproximinal set in any infinite-dimensional space c0(Γ) equipped with the Day norm; moreover, the distance function to the set is Gâteaux differentiable at each point of the complement.

引用

页码：299 / 313

页数：14

共 14 条

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