Opuscula Math. 37, no. 1 (), 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.