Asymptotics of eigenvalues for a class of Jacobi matrices with a limit point spectrum. (Q1889554)
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scientific article; zbMATH DE number 2121054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of eigenvalues for a class of Jacobi matrices with a limit point spectrum. |
scientific article; zbMATH DE number 2121054 |
Statements
Asymptotics of eigenvalues for a class of Jacobi matrices with a limit point spectrum. (English)
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2 December 2004
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The author considers a class of compact, self-adjoint operators on \(\ell_2\) induced by Jacobi tridiagonal matrices with zero main diagonal and very rapidly decreasing weights. The Weyl function is studied and asymptotic estimates for the eigenvalues are obtained.
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Jacobi matrix
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asymptotics of eigenvalues of Jacobi matrices
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self-adjoint operator
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Weyl function
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Stone's formula
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Hardy's method
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