On Some Properties of New Paranormed Sequence Space of Nonabsolute Type
We introduce some new generalized sequence space related to the space ℓ(𝑝). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/921613 |
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| _version_ | 1832549472175915008 |
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| author | Vatan Karakaya Necip Şimşek |
| author_facet | Vatan Karakaya Necip Şimşek |
| author_sort | Vatan Karakaya |
| collection | DOAJ |
| description | We introduce some new generalized sequence space
related to the space ℓ(𝑝). Furthermore we investigate some topological properties
as the completeness, the isomorphism, and also we give some inclusion
relations between this sequence space and some of the other sequence spaces.
In addition, we compute 𝛼-, 𝛽-, and 𝛾-duals of this space and characterize
certain matrix transformations on this sequence space. |
| format | Article |
| id | doaj-art-c54ba5d13d7f475db56f075ab52fc950 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c54ba5d13d7f475db56f075ab52fc9502025-02-03T06:11:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/921613921613On Some Properties of New Paranormed Sequence Space of Nonabsolute TypeVatan Karakaya0Necip Şimşek1Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler 34220, Istanbul, TurkeyDepartment of Mathematic, Istanbul Commerce University, Üsküdar, Istanbul, TurkeyWe introduce some new generalized sequence space related to the space ℓ(𝑝). Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute 𝛼-, 𝛽-, and 𝛾-duals of this space and characterize certain matrix transformations on this sequence space.http://dx.doi.org/10.1155/2012/921613 |
| spellingShingle | Vatan Karakaya Necip Şimşek On Some Properties of New Paranormed Sequence Space of Nonabsolute Type Abstract and Applied Analysis |
| title | On Some Properties of New Paranormed Sequence Space of Nonabsolute Type |
| title_full | On Some Properties of New Paranormed Sequence Space of Nonabsolute Type |
| title_fullStr | On Some Properties of New Paranormed Sequence Space of Nonabsolute Type |
| title_full_unstemmed | On Some Properties of New Paranormed Sequence Space of Nonabsolute Type |
| title_short | On Some Properties of New Paranormed Sequence Space of Nonabsolute Type |
| title_sort | on some properties of new paranormed sequence space of nonabsolute type |
| url | http://dx.doi.org/10.1155/2012/921613 |
| work_keys_str_mv | AT vatankarakaya onsomepropertiesofnewparanormedsequencespaceofnonabsolutetype AT necipsimsek onsomepropertiesofnewparanormedsequencespaceofnonabsolutetype |