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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| Published in: | Український математичний журнал |
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| Date: | 1991 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
1991
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154929 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |