Abstract
We consider a nonnegative selfadjoint operator A in a Krein space such that p(A) ≠ θ and ∞ ∉ c s (A) (i.e. ∞ is not a singular critical point of A). Then we show that these properties remain true for a certain perturbation of the operator, acting in a slightly perturbed Krein space. This result is applied to elliptic differential operators with indefinite weights and to certain difference operators.KeywordsSiberian AdvanceKrein SpaceElliptic Differential OperatorFundamental SymmetryIndefinite WeightThese 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.
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