Singularly perturbed self-adjoint operators in scales of Hilbert spaces

• Datum: 2007
• Hauptverfasser: Albeverio, S., Kuzhel, S., Nizhnik, L.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2007
• Schriftenreihe: Український математичний журнал
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/164191
• 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.

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...