Nörlund Matrix Domain on Sequence Spaces of p-adic Numbers

Author: Orhan Tuğ^1
1Mathematics Education Department, Ishik University, Erbil, Iraq

Abstract:  In this paper, we introduce some new sequence spaces p-adic numbers l_∞^(p) (N^t), c^(p)(N^t) and c₀^(p)(N^t) 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) (N^t), c^(p)(N^t) and c₀^(p)(N^t) and we conclude the paper with some significant results and an application.

Keywords: Nörlund Matrix, Sequence Spaces of p-adic Numbers, Matrix Transformations

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doi: 10.23918/eajse.v3i3p33

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