Compact perturbations of a linear homeomorphism (Q2043754)
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scientific article; zbMATH DE number 7377605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact perturbations of a linear homeomorphism |
scientific article; zbMATH DE number 7377605 |
Statements
Compact perturbations of a linear homeomorphism (English)
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3 August 2021
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The main result of this paper proves that an operator which is the sum of a linear homeomorphism and a \(C^1\)-compact operator is a \(C^1\)-diffeomorphism provided that the operator and its linearization are weakly coercive. Applications given for integral equations.
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compact operator
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Fredholm mapping
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weakly coercive operator
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index
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local \(C^r\)-diffeomorphism
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lobal inverse mapping theorem
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