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 |
|---|---|
| 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| id |
nasplib_isofts_kiev_ua-123456789-106677 |
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Golinskii, L. Kudryavtsev, M. 2016-10-02T18:30:36Z 2016-10-02T18:30:36Z 2006 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106677 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. The Authors thank Prof. M. Pituk for his helpful comments on the asymptotic behavior of the solutions of linear difference equations and for the reference to [6]. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Discrete Spectrum of Complex Banded Matrices Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the Discrete Spectrum of Complex Banded Matrices |
| spellingShingle |
On the Discrete Spectrum of Complex Banded Matrices Golinskii, L. Kudryavtsev, M. |
| title_short |
On the Discrete Spectrum of Complex Banded Matrices |
| title_full |
On the Discrete Spectrum of Complex Banded Matrices |
| title_fullStr |
On the Discrete Spectrum of Complex Banded Matrices |
| title_full_unstemmed |
On the Discrete Spectrum of Complex Banded Matrices |
| title_sort |
on the discrete spectrum of complex banded matrices |
| author |
Golinskii, L. Kudryavtsev, M. |
| author_facet |
Golinskii, L. Kudryavtsev, M. |
| publishDate |
2006 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106677 |
| citation_txt |
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. |
| work_keys_str_mv |
AT golinskiil onthediscretespectrumofcomplexbandedmatrices AT kudryavtsevm onthediscretespectrumofcomplexbandedmatrices |
| first_indexed |
2025-12-07T20:36:14Z |
| last_indexed |
2025-12-07T20:36:14Z |
| _version_ |
1850883204130537472 |