Towards the rank-one singular perturbations theory of self-adjoint operators
The perturbation theory is developed in the case when an arbitrary positive self-adjoint operator is perturbed by the projector on a generalized vector. Similar to the well-known problem −Δ+λδ MS we obtain in general situation explicit representations for singularly perturbed operators their resolve...
Збережено в:
| Дата: | 1991 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
1991
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154929 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Towards the rank-one singular perturbations theory of self-adjoint operators / Y.D. Koshmanenko // Український математичний журнал. — 1991. — Т. 43, № 11. — С. 1559–1566. — Бібліогр.: 3 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154929 |
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dspace |
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irk-123456789-1549292019-06-17T01:31:16Z Towards the rank-one singular perturbations theory of self-adjoint operators Koshmanenko, Y.D. Статті The perturbation theory is developed in the case when an arbitrary positive self-adjoint operator is perturbed by the projector on a generalized vector. Similar to the well-known problem −Δ+λδ MS we obtain in general situation explicit representations for singularly perturbed operators their resolvents find the point spectrum and an explicit form of the corresponding eigenvectors. Our approach differs from usual ones and based on the self-adjoint extensions theory of semibounded operators. 1991 Article Towards the rank-one singular perturbations theory of self-adjoint operators / Y.D. Koshmanenko // Український математичний журнал. — 1991. — Т. 43, № 11. — С. 1559–1566. — Бібліогр.: 3 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/154929 517.9 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Koshmanenko, Y.D. Towards the rank-one singular perturbations theory of self-adjoint operators Український математичний журнал |
| description |
The perturbation theory is developed in the case when an arbitrary positive self-adjoint operator is perturbed by the projector on a generalized vector. Similar to the well-known problem −Δ+λδ MS we obtain in general situation explicit representations for singularly perturbed operators their resolvents find the point spectrum and an explicit form of the corresponding eigenvectors. Our approach differs from usual ones and based on the self-adjoint extensions theory of semibounded operators. |
| format |
Article |
| author |
Koshmanenko, Y.D. |
| author_facet |
Koshmanenko, Y.D. |
| author_sort |
Koshmanenko, Y.D. |
| title |
Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_short |
Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_full |
Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_fullStr |
Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_full_unstemmed |
Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_sort |
towards the rank-one singular perturbations theory of self-adjoint operators |
| publisher |
Інститут математики НАН України |
| publishDate |
1991 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154929 |
| citation_txt |
Towards the rank-one singular perturbations theory of self-adjoint operators / Y.D. Koshmanenko // Український математичний журнал. — 1991. — Т. 43, № 11. — С. 1559–1566. — Бібліогр.: 3 назв. — англ. |
| series |
Український математичний журнал |
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AT koshmanenkoyd towardstherankonesingularperturbationstheoryofselfadjointoperators |
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2023-05-20T17:45:28Z |
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2023-05-20T17:45:28Z |
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