Opuscula Math. 37, no. 1 (2017), 65-80
http://dx.doi.org/10.7494/OpMath.2017.37.1.65
Opuscula Mathematica
Towards theory of C-symmetries
Abstract. The concept of \(\mathcal{C}\)-symmetry originally appeared in \(\mathcal{PT}\)-symmetric quantum mechanics is studied within the Krein spaces framework.
Keywords: Krein space, \(J\)-self-adjoint operator, \(J\)-symmetric operator, Friedrichs extension, \(\mathcal{C}\)-symmetry.
Mathematics Subject Classification: 47A55, 47B25, 47A57, 81Q15.
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- S. Kuzhel
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
- V. Sudilovskaya
- Kyiv Vocational College, Kyiv, Ukraina
- Communicated by Aurelian Gheondea.
- Received: 2016-02-28.
- Revised: 2016-09-15.
- Accepted: 2016-10-07.
- Published online: 2016-12-14.
