Almost Sequence Spaces Derived by the Domain of the Matrix
By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively. Further, we give some inclusion relations concerning the spaces , , and the nonexistence of Schauder basis of the spaces and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/783731 |
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| _version_ | 1832553567128387584 |
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| author | Ali Karaisa Ümıt Karabıyık |
| author_facet | Ali Karaisa Ümıt Karabıyık |
| author_sort | Ali Karaisa |
| collection | DOAJ |
| description | By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and
, respectively. Further, we give some inclusion relations concerning the spaces , , and the nonexistence of Schauder basis of the spaces
and is shown. Finally, we determine the - and -duals of the spaces and . Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined. |
| format | Article |
| id | doaj-art-ba78483c358b4ebea53d83b5bb1b0718 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ba78483c358b4ebea53d83b5bb1b07182025-02-03T05:53:46ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/783731783731Almost Sequence Spaces Derived by the Domain of the MatrixAli Karaisa0Ümıt Karabıyık1Department of Mathematics-Computer Science, Faculty of Sciences, Necmettin Erbakan University, Meram Yerleşkesi, Meram, 42090 Konya, TurkeyDepartment of Mathematics-Computer Science, Faculty of Sciences, Necmettin Erbakan University, Meram Yerleşkesi, Meram, 42090 Konya, TurkeyBy using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively. Further, we give some inclusion relations concerning the spaces , , and the nonexistence of Schauder basis of the spaces and is shown. Finally, we determine the - and -duals of the spaces and . Furthermore, the characterization of certain matrix classes on new almost convergent sequence and series spaces has exhaustively been examined.http://dx.doi.org/10.1155/2013/783731 |
| spellingShingle | Ali Karaisa Ümıt Karabıyık Almost Sequence Spaces Derived by the Domain of the Matrix Abstract and Applied Analysis |
| title | Almost Sequence Spaces Derived by the Domain of the Matrix |
| title_full | Almost Sequence Spaces Derived by the Domain of the Matrix |
| title_fullStr | Almost Sequence Spaces Derived by the Domain of the Matrix |
| title_full_unstemmed | Almost Sequence Spaces Derived by the Domain of the Matrix |
| title_short | Almost Sequence Spaces Derived by the Domain of the Matrix |
| title_sort | almost sequence spaces derived by the domain of the matrix |
| url | http://dx.doi.org/10.1155/2013/783731 |
| work_keys_str_mv | AT alikaraisa almostsequencespacesderivedbythedomainofthematrix AT umıtkarabıyık almostsequencespacesderivedbythedomainofthematrix |