On a class of perturbed operators (Q1589074)
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scientific article; zbMATH DE number 1541502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of perturbed operators |
scientific article; zbMATH DE number 1541502 |
Statements
On a class of perturbed operators (English)
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7 March 2001
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Let \(A(\varepsilon)=B_0 -\varepsilon B\), where \(B_0\) and \(B\) are given linear operators in Hilbert space. The author establishes some sufficient conditions for eigenvalues and corresponding eigenvectors of \(A(\varepsilon)\) to be analytic functions of \(\varepsilon\) at \(\varepsilon =0\), and applies the result to a certain (nonselfadjoint) functional-differential operator.
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perturbation of eigenvalues and eigenvectors
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analytic eigenvalues
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functional-differential operator
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