On compact linear operators of Henstock-Kurzweil-Dunford integrable functions on Kuelbs-Steadman spaces

Kalita H., Hazarika B., SAVAŞ E.

Montes Taurus Journal of Pure and Applied Mathematics, vol.7, no.1, pp.81-93, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2025
  • Journal Name: Montes Taurus Journal of Pure and Applied Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.81-93
  • Keywords: Henstock-Kurzweil-Dunford integrable function space, Kuelbs-Steadman spaces, p-Henstock-Kurzweil-Dunford integral, weakly compact operators
  • Uşak University Affiliated: Yes

Abstract

Within the context of Henstock-Kurzweil-Dunford integrable functions, we analyze the weakly compact linear operators in this article. We extent the concept of Henstock-Kurzweil-Dunford integral on Kuelbs-Steadman spaces so-called p-Henstock-Kurzweil-Dunford integral. Several properties of p-Henstock-Kurzweil-Dunford integrable functions are discussed. Finally, compactness criteria of Henstock-Kurzweil-Dunford operators in associate to p-Henstock-Kurzweil-Dunford integrable functions are discussed.