ON THE FINE SPECTRUM OF THE GENERALIZED DIFFERENCE OPERATOR B(r, s) OVER THE SEQUENCE SPACES c_0 AND c
We determine the fine spectrum of the generalized difference operator B ( r , s ) defined by a band matrix over the sequence spaces c 0 and c , and derive a Mercerian theorem. This generalizes our earlier work (2004) for the difference operator Δ , and includes as other special cases the right shift...
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences 2005-12, Vol.2005 (18), p.3005-3013-243 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We determine the fine spectrum of the generalized difference operator B ( r , s ) defined by a band matrix over the sequence spaces c 0 and c , and derive a Mercerian theorem. This generalizes our earlier work (2004) for the difference operator Δ , and includes as other special cases the right shift and the Zweier matrices. |
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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/IJMMS.2005.3005 |