Universal fundamental systems in ordered Banach spaces (Q704968)
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scientific article; zbMATH DE number 2130600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal fundamental systems in ordered Banach spaces |
scientific article; zbMATH DE number 2130600 |
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Universal fundamental systems in ordered Banach spaces (English)
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20 January 2005
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Extending the concept of hypercyclic semigroups, e.g., studied in [\textit{W. Desch, W. Schappacher} and \textit{G. F. Webb}, Ergodic Theory Dyn. Syst. 17, 793--819 (1997; Zbl 0910.47033)], the authors give conditions such that the solution of a nonautonomous abstract Cauchy problem \(\dot{x}(t)=A(t)x(t)\), \(t\geq 0\), forms a dense subset of the underlying Banach space.
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universal fundamental system, ordered Banach space
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nonautonomous abstract Cauchy problem
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hypercyclic semigroups
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