Singular rank one perturbations of self-adjoint operators and Krein theory of self-adjoint extensions

DOI10.1023/A:1008651918800zbMath0939.47004OpenAlexW285642769MaRDI QIDQ1819147

Volodymyr Koshmanenko, Sergio A. Albeverio

Publication date: 5 July 2000

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008651918800

zbMATH Keywords

Friedrichs extensionKrein's theory of self-adjoint extensions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20)

Related Items (12)

ON THE PROBLEM OF THE RIGHT HAMILTONIAN UNDER SINGULAR FORM-SUM PERTURBATIONS ⋮ Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators ⋮ On approximations of rank one ℋ₋₂-perturbations ⋮ Singularly continuous spectrum of singularly perturbed operators ⋮ On form-sum approximations of singularly perturbed positive self-adjoint operators ⋮ Spectra of rank-one perturbations of self-adjoint operators ⋮ The rigged Hilbert spaces approach in singular perturbation theory ⋮ On negative eigenvalues of generalized Laplace operators. ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ Parametrization of supersingular perturbations in the method of rigged Hilbert spaces ⋮ On Schrödinger operators perturbed by fractal potentials ⋮ Generalized sum of operators

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