Review on Some Sequence Spaces of p-adic Numbers
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tishk International University
2017-09-01
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| Series: | Eurasian Journal of Science and Engineering |
| Subjects: | |
| Online Access: | http://eajse.org/wp-content/uploads/2015/12/Review-on-Some-Sequence-Spaces-of-p-adic-Numbers.pdf |
| _version_ | 1797713493841936384 |
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| author | Orhan Tuğ Mutlay Doğan |
| author_facet | Orhan Tuğ Mutlay Doğan |
| author_sort | Orhan Tuğ |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T07:37:26Z |
| format | Article |
| id | doaj.art-7da1802dee124a35911451e4c3f7ecc8 |
| institution | Directory Open Access Journal |
| issn | 2414-5629 2414-5602 |
| language | English |
| last_indexed | 2024-03-12T07:37:26Z |
| publishDate | 2017-09-01 |
| publisher | Tishk International University |
| record_format | Article |
| series | Eurasian Journal of Science and Engineering |
| spelling | doaj.art-7da1802dee124a35911451e4c3f7ecc82023-09-02T21:28:23ZengTishk International UniversityEurasian Journal of Science and Engineering2414-56292414-56022017-09-013123123710.23918/eajse.v3i1sip231Review on Some Sequence Spaces of p-adic NumbersOrhan TuğMutlay DoğanIn 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.http://eajse.org/wp-content/uploads/2015/12/Review-on-Some-Sequence-Spaces-of-p-adic-Numbers.pdfSequence SpacesP-Adic NumbersBanach SpaceP-Adic SequencesMatrix Transformations |
| spellingShingle | Orhan Tuğ Mutlay Doğan Review on Some Sequence Spaces of p-adic Numbers Eurasian Journal of Science and Engineering Sequence Spaces P-Adic Numbers Banach Space P-Adic Sequences Matrix Transformations |
| title | Review on Some Sequence Spaces of p-adic Numbers |
| title_full | Review on Some Sequence Spaces of p-adic Numbers |
| title_fullStr | Review on Some Sequence Spaces of p-adic Numbers |
| title_full_unstemmed | Review on Some Sequence Spaces of p-adic Numbers |
| title_short | Review on Some Sequence Spaces of p-adic Numbers |
| title_sort | review on some sequence spaces of p adic numbers |
| topic | Sequence Spaces P-Adic Numbers Banach Space P-Adic Sequences Matrix Transformations |
| url | http://eajse.org/wp-content/uploads/2015/12/Review-on-Some-Sequence-Spaces-of-p-adic-Numbers.pdf |
| work_keys_str_mv | AT orhantug reviewonsomesequencespacesofpadicnumbers AT mutlaydogan reviewonsomesequencespacesofpadicnumbers |