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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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106677 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744547008708608 |
|---|---|
| author | Golinskii, L. Kudryavtsev, M. |
| author_facet | Golinskii, L. Kudryavtsev, M. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
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| first_indexed | 2025-12-07T20:36:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106677 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:36:14Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On the Discrete Spectrum of Complex Banded Matrices Golinskii, L. Kudryavtsev, M. |
| title | 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_short | On the Discrete Spectrum of Complex Banded Matrices |
| title_sort | on the discrete spectrum of complex banded matrices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106677 |
| work_keys_str_mv | AT golinskiil onthediscretespectrumofcomplexbandedmatrices AT kudryavtsevm onthediscretespectrumofcomplexbandedmatrices |