Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of self-adjoint operators in Krein spaces

DOI10.1016/j.jfa.2005.03.009zbMath1088.47031OpenAlexW2019491473MaRDI QIDQ2566078

Carsten Trunk, Peter Jonas, Tomas Ya. Azizov

Publication date: 22 September 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.03.009

zbMATH Keywords

perturbation theoryindefinite inner productsself-adjoint operatorsKrein spacesspectrum of positive typelocally definitizable operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Linear operators on spaces with an indefinite metric (47B50)

Related Items (12)

Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces ⋮ 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 ⋮ Spectra of definite type in waveguide models ⋮ Local definitizability of \(T^{[\ast}T\) and \(TT^{[\ast]}\)] ⋮ Local spectral theory for normal operators in Krein spaces ⋮ Spectral points of type \(\pi_{+}\) and \(\pi_{-}\) of operator-valued functions taking values in the set of unbounded operators ⋮ Spectral functions of products of selfadjoint operators ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ On the spectral theory of singular indefinite Sturm-Liouville operators ⋮ Spectral theory for operator matrices related to models in mechanics

Cites Work

• Locally definite operators in indefinite inner product spaces
• On compact perturbations of locally definitizable selfadjoint relations in Krein spaces
• Definitizable operators and quasihyperbolic operator polynomials
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