A measure of non-compactness on T 3½ spaces based on Arzelà-Ascoli type theorem

  • Filip Turoboś
Keywords: Tichonoff spaces, measure of non-compactness


The purpose of this paper is to generalize the measure of non-compactness for the space of continuous functions over the T  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 Cb (T). We also study some of the properties of this object and give another version of Darbotype theorem, suitable for this particular case.

Mathematics Subject Classification (2010): 46B50, 47H08, 54D35, 54D80.


Journal Identifiers

eISSN: 1727-933X
print ISSN: 1607-3606