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Preprint 19-2006

On the Spectral Theory of Singular Indefinite Sturm-Liouville Operators

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Author(s) : Jussi Behrndt

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 19-2006

MSC 2000

47B50 Operators on spaces with an indefinite metric

Abstract :
We consider a singular Sturm-Liouville differential expression with an indefinite weight function and we show that the corresponding self-adjoint differential operator in a Krein space locally has the same spectral properties as a definitizable operator.

Keywords : Sturm-Liouville operators, Krein spaces, definitizable operators

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