Opuscula Math. 37, no. 1 (2017), 65-80

Opuscula Mathematica

Towards theory of C-symmetries

S. Kuzhel
V. Sudilovskaya

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.
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Cite this article as:
S. Kuzhel, V. Sudilovskaya, Towards theory of C-symmetries, Opuscula Math. 37, no. 1 (2017), 65-80, http://dx.doi.org/10.7494/OpMath.2017.37.1.65

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