Quasi-Uniformly Positive Operators in Krein Space

Abstract

Definitizable operators in Krein spaces have spectral properties similar to those of selfadjoint operators in Hilbert spaces. A sufficient condition for definitizability of a selfadjoint operator A with a nonempty resolvent set ρ(A) in a Krein space (H,[·❘·]) is the finiteness of the number of negative squares of the form [Ax❘y] (see [10, p. 11]).KeywordsHilbert SpaceEssential SpectrumSelfadjoint OperatorKrein SpaceAlgebraic MultiplicityThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.