Stability of the index of a semi-Fredholm complex of Banach spaces (Q1075572)
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scientific article; zbMATH DE number 3951344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the index of a semi-Fredholm complex of Banach spaces |
scientific article; zbMATH DE number 3951344 |
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Stability of the index of a semi-Fredholm complex of Banach spaces (English)
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1986
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The aim of the paper is to establish the stability of the index and the semicontinuity of the cohomology groups of semi-Fredholm complexes of Banach spaces and closed linear operators with respect to perturbations of the operators and of the underlying spaces which are ''small'' in the gap topology. The results are applied to obtain semicontinuity for joint spectra of finite systems of commuting linear operators.
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stability of the index
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semicontinuity of the cohomology groups of semi- Fredholm
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complexes of Banach spaces and closed linear operators
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perturbations
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gap topology
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semicontinuity for joint spectra of finite systems of commuting
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linear operators
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semicontinuity of the cohomology groups of semi-Fredholm complexes of Banach spaces and closed linear operators
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semicontinuity for joint spectra of finite systems of commuting linear operators
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