Filling in the holes of the semi-Fredholm domain. (Q1865915)
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scientific article; zbMATH DE number 1890571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Filling in the holes of the semi-Fredholm domain. |
scientific article; zbMATH DE number 1890571 |
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Filling in the holes of the semi-Fredholm domain. (English)
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15 July 2003
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Consider a linear operator in some infinite-dimensional Hilbert space. The author finds sufficient conditions that for a given set of holes (bounded components) in the semi-Fredholm resolvent set of the operator, there exists an invariant subspace of the given operator such that the spectrum of the restriction is equal to the spectrum of the operator together with the chosen set of holes.
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Hilbert space
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semi-Fredholm operator
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invariant subspace
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spectrum
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0.7982105612754822
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0.778925359249115
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0.7390684485435486
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