The Hahn Sequence Space Defined by the Cesáro Mean
The -space of all sequences is given as such that converges and is a null sequence which is called the Hahn sequence space and is denoted by . Hahn (1922) defined the space and gave some general properties. G. Goes and S. Goes (1970) studied the functional analytic properties of this space. The...
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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/10.1155/2013/817659 |
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| author | Murat Kirişci |
| author_facet | Murat Kirişci |
| author_sort | Murat Kirişci |
| collection | DOAJ |
| description | The -space of all sequences is given as such that converges and is a null
sequence which is called the Hahn sequence space and is denoted by . Hahn (1922) defined the space and gave
some general properties. G. Goes and S. Goes (1970) studied the functional analytic properties of this space. The study
of Hahn sequence space was initiated by Chandrasekhara Rao (1990) with certain specific purpose in the Banach space theory. In this
paper, the matrix domain of the Hahn sequence space determined by the Cesáro mean first order, denoted by , is obtained,
and some inclusion relations and some topological properties of this space are investigated. Also dual spaces of
this space are computed and, matrix transformations are characterized. |
| format | Article |
| id | doaj-art-8f205ad605c3442fa2766de4763c8aa8 |
| 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-8f205ad605c3442fa2766de4763c8aa82025-02-03T06:06:16ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/817659817659The Hahn Sequence Space Defined by the Cesáro MeanMurat Kirişci0Department of Mathematical Education, Hasan Ali Yücel Education Faculty, Istanbul University, Vefa, Fatih, 34470 Istanbul, TurkeyThe -space of all sequences is given as such that converges and is a null sequence which is called the Hahn sequence space and is denoted by . Hahn (1922) defined the space and gave some general properties. G. Goes and S. Goes (1970) studied the functional analytic properties of this space. The study of Hahn sequence space was initiated by Chandrasekhara Rao (1990) with certain specific purpose in the Banach space theory. In this paper, the matrix domain of the Hahn sequence space determined by the Cesáro mean first order, denoted by , is obtained, and some inclusion relations and some topological properties of this space are investigated. Also dual spaces of this space are computed and, matrix transformations are characterized.http://dx.doi.org/10.1155/2013/817659 |
| spellingShingle | Murat Kirişci The Hahn Sequence Space Defined by the Cesáro Mean Abstract and Applied Analysis |
| title | The Hahn Sequence Space Defined by the Cesáro Mean |
| title_full | The Hahn Sequence Space Defined by the Cesáro Mean |
| title_fullStr | The Hahn Sequence Space Defined by the Cesáro Mean |
| title_full_unstemmed | The Hahn Sequence Space Defined by the Cesáro Mean |
| title_short | The Hahn Sequence Space Defined by the Cesáro Mean |
| title_sort | hahn sequence space defined by the cesaro mean |
| url | http://dx.doi.org/10.1155/2013/817659 |
| work_keys_str_mv | AT muratkirisci thehahnsequencespacedefinedbythecesaromean AT muratkirisci hahnsequencespacedefinedbythecesaromean |