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On the spectral theory of singular indefinite Sturm-Liouville operators
Authors:Jussi Behrndt
Institution:Technische Universität Berlin, Institut für Mathematik, MA 6-4, Straße des 17. Juni 136, D-10623 Berlin, Germany
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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