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

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

2010-12-30

arxiv.org/abs/1101.0046v1

Mathematics

Functional Analysis

Scientific paper

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>.

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