On the Discrete Spectrum of Complex Banded Matrices
The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The p-banded matr...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106677 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Discrete Spectrum of Complex Banded Matrices / L. Golinskii, M. Kudryavtsev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 396-423. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The p-banded matrix with the discrete spectrum having exactly p limit points on the interval (-2, 2) is constructed. The results are applied to study the discrete spectrum of asymptotically periodic Jacobi matrices.
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| ISSN: | 1812-9471 |