Singular rank one perturbations of self-adjoint operators and Krein theory of self-adjoint extensions
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Publication:1819147
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
Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20)
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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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