Strong proximinality of exposed faces of C0(T)

被引：0
|
作者：
Prakash, N. [1 ]
Sangeetha, K. V. [1 ]
机构：
[1] Natl Inst Technol Tiruchirappalli, Dept Math, Trichy 620015, Tamil Nadu, India
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期
关键词：
Proximinal; Strongly proximinal; Exposed face; Norm attaining functional; Hausdorff metric continuity; APPROXIMATIVE PROPERTIES; SUBSPACES;
D O I：
10.1007/s41478-023-00616-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a locally compact Hausdorff space T, we denote the space of all real valued continuous functions vanishing at infinity on T by C-0(T) and we prove that every exposed face of C-0(T) is strongly proximinal. Moreover, we show that the corresponding set valued metric projection map has a continuous selection by proving it is Hausdorff metric continuous.
引用
收藏
页码：2877 / 2888
页数：12
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