Bounds on the spectrum and reducing subspaces of a $J$-self-adjoint operator

DOI10.1512/iumj.2010.59.4225zbMath1236.47032arXiv0909.1211OpenAlexW2082987404MaRDI QIDQ3096347

Christiane Tretter, Alexander K. Motovilov, Sergio A. Albeverio

Publication date: 8 November 2011

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1211

zbMATH Keywords

Krein spaceoperator Riccati equationoperator anglesubspace perturbation problem\(PT\)-symmetry\(J\)-selfadjoint operatorDavis-Kahan theorems\(PT\)-symmetric operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Equations involving linear operators, with operator unknowns (47A62) Linear operators on spaces with an indefinite metric (47B50)

Related Items (11)

Non-symmetric perturbations of self-adjoint operators ⋮ Many-body excitations in trapped Bose gas: A non-Hermitian approach ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ Sharpening the norm bound in the subspace perturbation theory ⋮ Spectral enclosures for some unbounded \(n\times n\) operator matrices ⋮ Beyond mean-field: Condensate coupled with pair excitations ⋮ Сохранение свойства безусловной базисности при несамосопряженных возмущениях самосопряженных операторов ⋮ On invariant graph subspaces of a \(J\)-self-adjoint operator in the Feshbach case ⋮ Spectral enclosures for a class of block operator matrices ⋮ Solvability of the operator Riccati equation in the Feshbach case ⋮ Relatively bounded perturbations of \(J\)-non-negative operators

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