Hypercyclic and chaotic semigroups of linear operators - Concepedia

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Hypercyclic and chaotic semigroups of linear operators

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Citations

0

References

1997

Year

Wolfgang Desch, Wilhelm Schappacher, Glenn F. Webb

Ergodic Theory and Dynamical Systems

Topological SemigroupsLinear OperatorChaotic BehaviorContinuous SemigroupsSufficient ConditionsTransformation SemigroupsFunctional AnalysisChaotic Semigroups

Abstract

We investigate hypercyclic and chaotic behavior of linear strongly continuous semigroups. We give necessary and sufficient conditions on the semigroup to be hypercyclic, and sufficient conditions on the spectrum of an operator to generate a hypercyclic semigroup. A variety of examples is provided.