English

On J-Self-Adjoint Operators with Stable C-Symmetry

Functional Analysis 2011-01-04 v1

Abstract

The paper is devoted to a development of the theory of self-adjoint operators in Krein spaces (J-self-adjoint operators) involving some additional properties arising from the existence of C-symmetries. The main attention is paid to the recent notion of stable C-symmetry for J-self-adjoint extensions of a symmetric operator S. The general results are specialized further by studying in detail the case where S has defect numbers <2,2>.

Keywords

Cite

@article{arxiv.1101.0046,
  title  = {On J-Self-Adjoint Operators with Stable C-Symmetry},
  author = {Seppo Hassi and Sergii Kuzhel},
  journal= {arXiv preprint arXiv:1101.0046},
  year   = {2011}
}
R2 v1 2026-06-21T17:05:34.329Z