Existence of hypercyclic polynomials on complex Fréchet spaces (Q1032947)
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scientific article; zbMATH DE number 5625498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of hypercyclic polynomials on complex Fréchet spaces |
scientific article; zbMATH DE number 5625498 |
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Existence of hypercyclic polynomials on complex Fréchet spaces (English)
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5 November 2009
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The authors show that every separable infinite-dimensional Fréchet space \(E\) admits a hypercyclic polynomial of any degree, and end the paper with an open problem of whether every separable infinite-dimensional Fréchet space admit a chaotic polynomial of degree \(d>1\). They conjecture that the answer is negative in general.
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hypercyclic vectors
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Fréchet spaces
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infinite dimensional holomorphy
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polynomials
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0.89950323
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0.8855267
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0.87135243
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0.86829245
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0.8665959
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0.8665153
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