On spectral characterization of nonuniform hyperbolicity (Q1689510)
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scientific article; zbMATH DE number 6825475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On spectral characterization of nonuniform hyperbolicity |
scientific article; zbMATH DE number 6825475 |
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On spectral characterization of nonuniform hyperbolicity (English)
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12 January 2018
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Summary: We give a complete functional theoretic characterization of tempered exponential dichotomies in terms of the invertibility of certain linear operators acting on a suitable Frechét space. In sharp contrast to previous results, we consider noninvertible linear cocycles acting on infinite-dimensional spaces. The principal advantage of our results is that they avoid the use of Lyapunov norms.
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tempered exponential dichotomies
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linear operators
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Fréchet space
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Lyapunov norms
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