On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \)) (Q623148)
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scientific article; zbMATH DE number 5851177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \)) |
scientific article; zbMATH DE number 5851177 |
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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)
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13 February 2011
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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.
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spectrum of an operator
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difference operator
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generalised difference operator
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spectral mapping theorem
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sequence spaces \(\ell_p\) and \(bv_p\)
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