Title: On the negative squares of indefinite Sturm–Liouville operators
Abstract: The number of negative squares of all self-adjoint extensions of a simple symmetric operator of defect one with finitely many negative squares in a Krein space is characterized in terms of the behaviour of an abstract Titchmarsh–Weyl function near 0 and ∞. These results are applied to a large class of symmetric and self-adjoint indefinite Sturm–Liouville operators with indefinite weight functions.
Publication Year: 2007
Publication Date: 2007-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 39
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