On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c
We determine the fine spectrum of the generalized difference operator B(r,s) defined by a band matrix over the sequence spaces c0 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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3005 |
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| _version_ | 1832552130143059968 |
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| author | Bilâl Altay Feyzı Başar |
| author_facet | Bilâl Altay Feyzı Başar |
| author_sort | Bilâl Altay |
| collection | DOAJ |
| description | We determine the fine spectrum of the generalized difference operator B(r,s) defined by a band matrix over the sequence spaces c0 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. |
| format | Article |
| id | doaj-art-0108f690fec847b7934f04a69754353b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0108f690fec847b7934f04a69754353b2025-02-03T05:59:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005183005301310.1155/IJMMS.2005.3005On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and cBilâl Altay0Feyzı Başar1Matematik Eğitim Fakültesi, İnönü Üniversitesi, Malatya 44280, TurkeyMatematik Eğitim Fakültesi, İnönü Üniversitesi, Malatya 44280, TurkeyWe determine the fine spectrum of the generalized difference operator B(r,s) defined by a band matrix over the sequence spaces c0 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.http://dx.doi.org/10.1155/IJMMS.2005.3005 |
| spellingShingle | Bilâl Altay Feyzı Başar On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c International Journal of Mathematics and Mathematical Sciences |
| title | On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c |
| title_full | On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c |
| title_fullStr | On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c |
| title_full_unstemmed | On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c |
| title_short | On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces c0 and c |
| title_sort | on the fine spectrum of the generalized difference operator b r s over the sequence spaces c0 and c |
| url | http://dx.doi.org/10.1155/IJMMS.2005.3005 |
| work_keys_str_mv | AT bilalaltay onthefinespectrumofthegeneralizeddifferenceoperatorbrsoverthesequencespacesc0andc AT feyzıbasar onthefinespectrumofthegeneralizeddifferenceoperatorbrsoverthesequencespacesc0andc |