On Selections from the Best n-Nets

被引：0

作者：

Yu. Yu. Druzhinin

机构：

[1] State-Funded Educational Institution Lycée 1158,

来源：

Mathematical Notes | 2018年 / 104卷

关键词：

Banach space; selection; best n-net; Chebyshev center;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The discontinuity of any selection from a best n-net for n ≥ 2 in an arbitrary not strictly convex Banach space is proved. It is also proved that there is no Lipschitz selection on an arbitrary Banach space of dimension at least 2 whose unit sphere contains an attainable point of smoothness.

引用

页码：678 / 682

页数：4