Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations

DOI10.1007/s00020-009-1702-1zbMath1197.47024arXiv0808.2783OpenAlexW2049158149MaRDI QIDQ1037200

A. A. Shkalikov, Alexander K. Motovilov, Sergio A. Albeverio

Publication date: 13 November 2009

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

Full work available at URL: https://arxiv.org/abs/0808.2783

zbMATH Keywords

Krein spaceoperatorSylvester equationPT symmetrysubspace perturbation problemJ-self-adjoint operatorDavis-Kahan theoremsJ-symmetricPT-symmetric operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Spectral sets of linear operators (47A25) Linear operators on spaces with an indefinite metric (47B50)

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