Review on Some Sequence Spaces of p-adic Numbers

Tuğ, Orhan and Dogan, Mutlay (2017) Review on Some Sequence Spaces of p-adic Numbers. Eurasian Journal of Science and Engineering, 3 (1). pp. 231-237. ISSN 24145629

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Abstract

In this paper, we make a literature review on p-adic sequences and we prove some new topological properties on the sequence spaces, the set of bounded sequences and the set of convergent sequences of p-adic numbers, respectively. We show that these sequence spaces are Banach spaces under some certain topological properties. Moreover we prove some inclusion relation between these sequence spaces. We construct the duals of sequence spaces of p-adic numbers. We conclude the paper with characterizations of some significant matrix classes.

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