On the characterization of a class of four dimensional matrices and steinhaus type theorems

Creative Commons License

Yesilkayagil M., Basar F.

Kragujevac Journal of Mathematics, vol.40, no.1, pp.35-45, 2016 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.5937/kgjmath1601035y
  • Journal Name: Kragujevac Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.35-45
  • Keywords: Double sequence, Double series, Matrix transformations, Pringsheim convergence, Steinhaus type theorems
  • Uşak University Affiliated: Yes

Abstract

In the present paper, we give the definitions of four dimensional conull and coregular matrices, and characterize the classes (Mu: Cv), where v ε (p, p0; f) and Cf denotes the space of all almost convergent double sequences. Additionally, we give two Steinhaus type theorems related to the coercive/almost coercive four dimensional sequence to sequence matrix transformations.