Spectral analysis of singular ordinary differential operators with indefinite weights (Q963021)
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scientific article; zbMATH DE number 5690753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral analysis of singular ordinary differential operators with indefinite weights |
scientific article; zbMATH DE number 5690753 |
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Spectral analysis of singular ordinary differential operators with indefinite weights (English)
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8 April 2010
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The authors develop a perturbation approach to investigate spectral problems for singular ordinary differential operators with indefinite weight functions. They prove a general perturbation result on the local spectral properties of selfadjoint operators in Krein spaces which differ only by finitely many dimensions from the orthogonal sum of a fundamentally reducible operator and an operator with finitely many negative squares. This result is applied to singular indefinite Sturm-Liouville operators and higher order singular ordinary differential operators with indefinite weight functions.
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Sturm-Liouville operator
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ordinary differential operator
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indefinite weight
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Krein space
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definitizable operator
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critical point
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finite rank perturbation
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Titchmarsh-Weyl theory
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