Domain of the Double Sequential Band Matrix in the Sequence Space
The sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010). In the present paper, the sequence space of nonabsolute type has been studied which is the domain of the ge...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/949282 |
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| _version_ | 1850213820145860608 |
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| author | Havva Nergiz Feyzi Başar |
| author_facet | Havva Nergiz Feyzi Başar |
| author_sort | Havva Nergiz |
| collection | DOAJ |
| description | The sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010). In the present paper, the sequence space of nonabsolute type has been studied which is the domain of the generalized difference matrix in the sequence space . Furthermore, the alpha-, beta-, and gamma-duals of the space have been determined, and the Schauder basis has been given. The classes of matrix transformations from the space to the spaces , c and c0 have been characterized. Additionally, the characterizations of some other matrix transformations from the space to the Euler, Riesz, difference, and so forth sequence spaces have been obtained by means of a given lemma. The last section of the paper has been devoted to conclusion. |
| format | Article |
| id | doaj-art-87909204eaa74f249e418d7cfc774a29 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-87909204eaa74f249e418d7cfc774a292025-08-20T02:09:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/949282949282Domain of the Double Sequential Band Matrix in the Sequence SpaceHavva Nergiz0Feyzi Başar1Department of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 Istanbul, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 Istanbul, TurkeyThe sequence space was introduced by Maddox (1967). Quite recently, the domain of the generalized difference matrix in the sequence space has been investigated by Kirişçi and Başar (2010). In the present paper, the sequence space of nonabsolute type has been studied which is the domain of the generalized difference matrix in the sequence space . Furthermore, the alpha-, beta-, and gamma-duals of the space have been determined, and the Schauder basis has been given. The classes of matrix transformations from the space to the spaces , c and c0 have been characterized. Additionally, the characterizations of some other matrix transformations from the space to the Euler, Riesz, difference, and so forth sequence spaces have been obtained by means of a given lemma. The last section of the paper has been devoted to conclusion.http://dx.doi.org/10.1155/2013/949282 |
| spellingShingle | Havva Nergiz Feyzi Başar Domain of the Double Sequential Band Matrix in the Sequence Space Abstract and Applied Analysis |
| title | Domain of the Double Sequential Band Matrix in the Sequence Space |
| title_full | Domain of the Double Sequential Band Matrix in the Sequence Space |
| title_fullStr | Domain of the Double Sequential Band Matrix in the Sequence Space |
| title_full_unstemmed | Domain of the Double Sequential Band Matrix in the Sequence Space |
| title_short | Domain of the Double Sequential Band Matrix in the Sequence Space |
| title_sort | domain of the double sequential band matrix in the sequence space |
| url | http://dx.doi.org/10.1155/2013/949282 |
| work_keys_str_mv | AT havvanergiz domainofthedoublesequentialbandmatrixinthesequencespace AT feyzibasar domainofthedoublesequentialbandmatrixinthesequencespace |