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

Text (Published Research Article)
eajse.v3i1sip231.pdf - Published Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (605kB) |

## Abstract

In this paper, we make a literature review on p-adic sequences and we prove some new topological properties on the sequence spaces w(p), l∞(p) and c(p) of p-adic numbers as the set of all sequences, 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 α-, β- and γ duals of sequence spaces w(p), l∞(p) and c(p), and of p-adic numbers. We conclude the paper with characterizations of some significant matrix classes.

Item Type: | Article |
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Uncontrolled Keywords: | Sequence Spaces, P-Adic Numbers, Banach Space, P-Adic Sequences, Matrix Transformations |

Subjects: | L Education > L Education (General) Q Science > QA Mathematics |

Divisions: | Ishik Eurasian Journal of Science and Engineering > VOL 3, NO 1 (2017) |

Depositing User: | Depositor @ Ishik University |

Date Deposited: | 26 Apr 2018 20:36 |

Last Modified: | 26 Apr 2018 20:36 |

URI: | http://eprints.ishik.edu.iq/id/eprint/57 |

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