Nörlund Matrix Domain on Sequence Spaces of p-adic Numbers

Abstract

In this paper, we introduce some new sequence spaces p-adic numbers l∞(p) (Nt), c(p)(Nt) and c0(p)(Nt) as Nörlund matrix domain in the sequence spaces l∞(p) , c(p) and c0(p), respectively. Moreover, α – , β – and γ – dual of these new spaces are calculated with some topological properties. We characterize some new matrix classes related with the spaces l∞(p) (Nt), c(p)(Nt) and c0(p)(Nt) and we conclude the paper with some significant results and an application.

Keywords

• Nörlund Matrix
• Sequence Spaces of p-adic Numbers
• Matrix Transformations