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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| Main Author: | |
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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/10.1155/2013/817659 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |