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: | Bilâl Altay, Feyzı Başar |
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Format: | Article |
Language: | English |
Published: |
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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