Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples (Q628698)
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scientific article; zbMATH DE number 5865290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples |
scientific article; zbMATH DE number 5865290 |
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Unbounded Jacobi matrices with a few gaps in the essential spectrum: Constructive examples (English)
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14 March 2011
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The authors give a construction of a class of unbounded Jacobi matrices with few gaps in the essential spectrum. Absolutely continuous spectra of them fill some bounded intervals (a~finite number). The sets of their eigenvalues can accumulate only at \(-\infty\) and \(+\infty\). Asymptotic formulae for the eigenvalues are also given.
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Jacobi matrix
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essential spectrum
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gaps
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asymptotics
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