\({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula

DOI10.1007/s000200300015zbMath1031.47016OpenAlexW1981567676MaRDI QIDQ1811178

Pavel Kurasov

Publication date: 3 March 2004

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000200300015

zbMATH Keywords

self-adjoint operatorgeneralized Nevanlinna functionsscale of Hilbert spacesrank one perturbationsextended Hilbert spaceKreĭn's resolvent formulasupersingular perturbations

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Dilations, extensions, compressions of linear operators (47A20)

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