On dual definite subspaces in Krein space

DOI10.1007/s11785-018-0838-xzbMath1481.46017arXiv1802.08647OpenAlexW2963484358MaRDI QIDQ2313011

Alan Kamuda, V. I. Sudilovskaya, Sergei Kuzhel

Publication date: 18 July 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08647

zbMATH Keywords

Krein spacequasi-basisextremal extensions\(\mathcal {C}\)-symmetrydual definite subspaces

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) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items

Generalized Riesz systems and orthonormal sequences in Krein spaces ⋮ Towards generalized Riesz systems theory

Cites Work

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• On operators of transition in Krein spaces
• M. Kreĭn’s Research on Semi-Bounded Operators, its Contemporary Developments, and Applications
• Unbounded $\mathcal {C}$-symmetries and their nonuniqueness

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