A measure of non-compactness on T31/2 spaces based on Arzela-Ascoli type theorem

被引：0
作者：
Turobos, Filip [1 ]
机构：
[1] Lodz Univ Technol, Inst Math, Wolczanska 215, PL-90924 Lodz, Poland
来源：
QUAESTIONES MATHEMATICAE | 2020年 / 43卷 / 12期
关键词：
Tichonoff spaces; measure of non-compactness;
D O I：
10.2989/16073606.2019.1654553
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to generalize the measure of non-compactness for the space of continuous functions over the T-31/2 space. Motivated by the generalized Arzela-Ascoli theorem for Tichonoff space T via Wallman compactifiaction Wall(T), we constuct a measure of non-compactness for the space C-b(T). We also study some of the properties of this object and give another version of Darbotype theorem, suitable for this particular case.
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页码：1749 / 1763
页数：15
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