High order singular rank one perturbations of a positive operator

DOI10.1007/s00020-005-1357-5zbMath1104.47024OpenAlexW2108866470MaRDI QIDQ814391

Aalt Dijksma, Pavel Kurasov, Yuri Shondin

Publication date: 7 February 2006

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

Full work available at URL: https://doi.org/10.1007/s00020-005-1357-5

zbMATH Keywords

Hilbert spacesymmetric operatorrank one perturbationself-adjoint extensionPontryagin spaceGelfand tripleKrein resolvent formuladefect functionscale of Hilbert spaces

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operators on spaces with an indefinite metric (47B50)

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