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A measure of non-compactness on T3½ spaces based on Arzelà-Ascoli type theorem.
- Source :
- QM - Quaestiones Mathematicae; Dec2020, Vol. 43 Issue 12, p1749-1763, 15p
- Publication Year :
- 2020
-
Abstract
- The purpose of this paper is to generalize the measure of non-compactness for the space of continuous functions over the T<subscript>3½</subscript> space. Motivated by the generalized Arzelà-Ascoli theorem for Tichonoff space T via Wallman compactifiaction Wall(T), we constuct a measure of non-compactness for the space C<superscript>b</superscript>(T). We also study some of the properties of this object and give another version of Darbotype theorem, suitable for this particular case. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONTINUOUS functions
FUNCTION spaces
SPACE
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 43
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 147756175
- Full Text :
- https://doi.org/10.2989/16073606.2019.1654553