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...
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| Veröffentlicht in: | Український математичний журнал |
|---|---|
| Datum: | 1991 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
1991
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154929 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750554730528768 |
|---|---|
| author | Koshmanenko, Y.D. |
| author_facet | Koshmanenko, Y.D. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-12-07T21:06:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154929 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-3190 |
| language | English |
| last_indexed | 2025-12-07T21:06:01Z |
| publishDate | 1991 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Koshmanenko, Y.D. 2019-06-16T06:56:35Z 2019-06-16T06:56:35Z 1991 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 https://nasplib.isofts.kiev.ua/handle/123456789/154929 517.9 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. en Інститут математики НАН України Український математичний журнал Статті Towards the rank-one singular perturbations theory of self-adjoint operators К сингулярной теории возмущений ранга один самосопряженных операторов Article published earlier |
| spellingShingle | Towards the rank-one singular perturbations theory of self-adjoint operators Koshmanenko, Y.D. Статті |
| title | Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_alt | К сингулярной теории возмущений ранга один самосопряженных операторов |
| 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_short | Towards the rank-one singular perturbations theory of self-adjoint operators |
| title_sort | towards the rank-one singular perturbations theory of self-adjoint operators |
| topic | Статті |
| topic_facet | Статті |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154929 |
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