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On the fine spectrum of the operator $B(r,s,t)$ over the sequence spaces $\ell_p$ and $bv_p$,($1<p<\infty$). (English) Zbl 1222.47050
The authors determine the exact location of the fine spectrum of a linear operator given by an infinite three-diagonal banded matrix in the sequence spaces $\ell_p$ and $bv_p$ for $p\in(1,\infty)$. Their results generalize some earlier results of the authors and their collaborators on this subject.

##### MSC:
 47B39 Difference operators (operator theory) 40C05 Matrix methods in summability 46B45 Banach sequence spaces
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##### References:
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