On the fine spectra of triangular Toeplitz operators (Q548372)
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scientific article; zbMATH DE number 5914117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the fine spectra of triangular Toeplitz operators |
scientific article; zbMATH DE number 5914117 |
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On the fine spectra of triangular Toeplitz operators (English)
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28 June 2011
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By fine spectrum of an operator, the author means the following three parts of spectrum: the point spectrum, the continuous spectrum, and the residual spectrum. In the present paper, these are determined for Toeplitz operators represented by upper and lower triangular \(n\)-band infinite matrices over the space \(c\) of one-sided convergent sequences and its subspace \(c_0\) of sequences converging to zero. Similar results are given for the \(\ell^ p\)-spaces, \(1\leq p\leq\infty\).
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Toeplitz operators
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spectrum
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banded matrix
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