\(f\)-frequently hypercyclic \(C_0\)-semigroups on complex sectors (Q778771)
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scientific article; zbMATH DE number 7222729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(f\)-frequently hypercyclic \(C_0\)-semigroups on complex sectors |
scientific article; zbMATH DE number 7222729 |
Statements
\(f\)-frequently hypercyclic \(C_0\)-semigroups on complex sectors (English)
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20 July 2020
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Different kinds of frequently hypercyclic \(C_0\)-semigroups defined on complex sectors, with values in separable infinite-dimensional Fréchet spaces, are investigated. Generalized frequently hypercyclic translation semigroups and generalized frequently hypercyclic semigroups induced by semiflows on weighted function spaces are studied. A frequent hypercyclicity criterion for \(C_0\)-semigroups on complex sectors is proved with an approach which does not use the notion of Pettis integrability. Several examples are discussed.
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\(C_0\)-semigroups on complex sectors
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\(\mathcal{F}\)-frequent hypercyclicity
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\(f\)-frequent hypercyclicity
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translation semigroups and semigroups induced by semiflows
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Fréchet spaces
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