On rank one perturbations of selfadjoint operators

DOI10.1007/BF01320702zbMath0899.47009MaRDI QIDQ1378049

Hassi, Seppo, Hendrik S. V. de Snoo

Publication date: 4 March 1998

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

zbMATH Keywords

spectral measuresselfadjoint operatorFriedrichs extension\(Q\)-functionsrank one perturbationslimiting perturbation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (8)

On approximations of rank one ℋ₋₂-perturbations ⋮ Rank one perturbations, approximations, and selfadjoint extensions ⋮ Rank one perturbations of not semibounded operators ⋮ Random Sturm–Liouville operators with point interactions ⋮ Rank-one perturbations of diagonal operators ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices ⋮ One-dimensional Perturbations, Asymptotic Expansions, and Spectral Gaps ⋮ INVERSE SPECTRAL PROBLEMS FOR SINGULAR RANK-ONE PERTURBATIONS OF A HILL OPERATOR

Cites Work

• Rank one perturbations of not semibounded operators
• Rank one perturbations at infinite coupling
• Rank one perturbations with infinitesimal coupling
• Some Questions in the Perturbation Theory ofJ-Nonnegative Operators in Krein Spaces
• Smooth rank one perturbations of selfadjoint operators
• Nevanlinna Functions, Perturbation Formulas, and Triplets of Hilbert Spaces
• Generalized Resolvents of Ordinary Differential Operators
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