Fine spectra of symmetric Toeplitz operators (Q448864)
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scientific article; zbMATH DE number 6078840
| Language | Label | Description | Also known as |
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| English | Fine spectra of symmetric Toeplitz operators |
scientific article; zbMATH DE number 6078840 |
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Fine spectra of symmetric Toeplitz operators (English)
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7 September 2012
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Summary: The fine spectra of 2-banded and 3-banded infinite Toeplitz matrices were examined by several authors. The fine spectra of \(n\)-banded triangular Toeplitz matrices and tridiagonal symmetric matrices were computed in [\textit{M. Altun}, Appl. Math. Comput. 217, No.~20, 8044--8051 (2011; Zbl 1250.47033); Int. J. Math. Math. Sci. 2011, Article ID 161209 (2011; Zbl 1216.15011)]. Here, we generalize those results to the \((2n + 1)\)-banded symmetric Toeplitz matrix operators for arbitrary positive integer \(n\).
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fine spectrum
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infinite Toeplitz matrix
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two-banded infinite Toeplitz matrices
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three-banded infinite Toeplitz matrices
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\((2n + 1)\)-banded symmetric Toeplitz matrix operators
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0.9379704
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0.9321463
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0.92033887
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0.9156424
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0.9143964
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