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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Datum:2007
Hauptverfasser: Albeverio, S., Kuzhel, S., Nizhnik, L.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Schriftenreihe:Український математичний журнал
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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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Digital Library of Periodicals of National Academy of Sciences of Ukraine