On compact perturbations of locally definitizable selfadjoint relations in Krein spaces

DOI10.1007/s00020-004-1330-8zbMath1083.47030OpenAlexW1967489508MaRDI QIDQ1780978

Jussi Behrndt, Peter Jonas

Publication date: 15 June 2005

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

Full work available at URL: https://depositonce.tu-berlin.de/handle/11303/15509

zbMATH Keywords

compact perturbationsselfadjoint operatorsKrein spacesdefinitisable operatorsselfadjoint linear relationsspectral points of positive type

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Linear operators on spaces with an indefinite metric (47B50)

Related Items (9)

Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ An analytic characterization of the eigenvalues of self-adjoint extensions ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ On the spectral theory of singular indefinite Sturm-Liouville operators ⋮ On locally definitizable matrix functions ⋮ Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of self-adjoint operators in Krein spaces ⋮ Relatively bounded perturbations of \(J\)-non-negative operators

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