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, cilt.7, sa.1, ss.81-93, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2025
  • Dergi Adı: Montes Taurus Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.81-93
  • Anahtar Kelimeler: Henstock-Kurzweil-Dunford integrable function space, Kuelbs-Steadman spaces, p-Henstock-Kurzweil-Dunford integral, weakly compact operators
  • Uşak Üniversitesi Adresli: Evet

Özet

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.