Similarity of indefinite Sturm--Liouville operators with singular potential to a self-adjoint operator (Q2577354)
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| Language | Label | Description | Also known as |
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| English | Similarity of indefinite Sturm--Liouville operators with singular potential to a self-adjoint operator |
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Similarity of indefinite Sturm--Liouville operators with singular potential to a self-adjoint operator (English)
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19 December 2005
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The similarity of quasi-Hermitian extensions of the operator \[ L_0:=-\frac{\text{sign}\,x}{| x| ^\alpha}\;\frac{d^2}{dx^2},\quad \alpha > -1, \] to a self-adjoint and a normal operator is established in \(L^2(\mathbb{R},| x| ^\alpha)\).
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Sturm--Liouville operator
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quasi-Hermitian extension of a linear operator
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Krein--Stieltjes class of functions
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Krein string
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Weyl function
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self-adjoint operator
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