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Towards theory of C-symmetries

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Publication:2965455
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DOI10.7494/OpMath.2017.37.1.65zbMath1373.47041arXiv1605.08457MaRDI QIDQ2965455

V. I. Sudilovskaya, Sergei Kuzhel

Publication date: 3 March 2017

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08457


zbMATH Keywords

Krein spaceFriedrichs extension\(J\)-self-adjoint operator\(J\)-symmetric operator\(\mathcal{C}\)-symmetry


Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Perturbation theories for operators and differential equations in quantum theory (81Q15) Linear operator methods in interpolation, moment and extension problems (47A57) Linear operators on spaces with an indefinite metric (47B50)


Related Items (4)

Generalized Riesz systems and orthonormal sequences in Krein spaces ⋮ On \(J\)-frames related to maximal definite subspaces ⋮ On the K-theoretic classification of dynamically stable systems ⋮ On dual definite subspaces in Krein space



Cites Work

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


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