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

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Yesilkayagil M., Basar F.

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

• 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
• Open Archive Collection: AVESIS Open Access Collection
• 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.