Singularly perturbed self-adjoint operators in scales of Hilbert spaces
Finite rank perturbations of a semi-bounded self-adjoint operator A are studied in the scale of Hilbert spaces associated with A. A concept of quasi-boundary value space is used to describe self-adjoint operator realizations of regular and singular perturbations of A by the same formula. As an app...
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Date: | 2007 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
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Інститут математики НАН України
2007
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Series: | Український математичний журнал |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | Singularly perturbed self-adjoint operators in scales of Hilbert spaces / S. Albeverio, S. Kuzhel, L. Nizhnik // Український математичний журнал. — 2007. — Т. 59, № 6. — С. 723–743. — Бібліогр.: 28 назв. — англ. |
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