On the Generalized -Riesz Difference Sequence Space and -Property
We introduce the generalized Riesz difference sequence space which is defined by where is the Riesz sequence space defined by Altay and Başar. We give some topological properties, compute the duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix...
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| Veröffentlicht in: | Journal of inequalities and applications 2009-08, Vol.2009 (1), p.385029 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We introduce the generalized Riesz difference sequence space
which is defined by
where
is the Riesz sequence space defined by Altay and Başar. We give some topological properties, compute the
duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of
and we have proved that this sequence space has property
for
. |
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| ISSN: | 1029-242X 1029-242X |
| DOI: | 10.1155/2009/385029 |