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

页码：2877 / 2888

页数：12

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