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Zbl 1222.47050
Furkan, Hasan; Bilgiç, Hüseyin; Başar, Feyzi
On the fine spectrum of the operator $B(r,s,t)$ over the sequence spaces $\ell_p$ and $bv_p$,($1<p<\infty $). (English)
[J] Comput. Math. Appl. 60, No. 7, 2141-2152 (2010). ISSN 0898-1221

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.
[Roman Šimon Hilscher (Brno)]

MSC 2000:: *47B39 Difference operators (operator theory)
40C05 Matrix methods in summability
46B45 Banach sequence spaces

Keywords: spectrum of an operator; difference operator; generalised difference operator; spectral mapping theorem; sequence spaces $\ell_p$ and $bv_p$

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Zentralblatt MATH Berlin [Germany]