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...
Збережено в:
| Дата: | 2006 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-106677 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1066772016-10-03T03:02:13Z On the Discrete Spectrum of Complex Banded Matrices Golinskii, L. Kudryavtsev, M. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106677 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Golinskii, L. Kudryavtsev, M. |
| spellingShingle |
Golinskii, L. Kudryavtsev, M. On the Discrete Spectrum of Complex Banded Matrices Журнал математической физики, анализа, геометрии |
| author_facet |
Golinskii, L. Kudryavtsev, M. |
| author_sort |
Golinskii, L. |
| title |
On the Discrete Spectrum of Complex Banded Matrices |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT golinskiil onthediscretespectrumofcomplexbandedmatrices AT kudryavtsevm onthediscretespectrumofcomplexbandedmatrices |
| first_indexed |
2023-10-18T20:13:28Z |
| last_indexed |
2023-10-18T20:13:28Z |
| _version_ |
1796149298767855616 |