Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces

DOI10.1016/j.jmaa.2016.03.012zbMath1341.47045OpenAlexW301117870MaRDI QIDQ268583

Leslie Leben, Jussi Behrndt, Carsten Trunk, Roland Möws, Francisco Martínez Pería

Publication date: 15 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.012

zbMATH Keywords

Krein spaceselfadjoint operatoreigenvalue estimatesindefinite Sturm-Liouville operatorrank one perturbation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Perturbation theory of linear operators (47A55) Linear operators on spaces with an indefinite metric (47B50) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Classical and quantum wave dynamics on time-dependent geometric graph ⋮ Spectra of rank-one perturbations of self-adjoint operators ⋮ Spectra of $\mathcal{PT}$-symmetric operators under rank-one perturbations

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