Hypercyclic and chaotic semigroups of linear operators
- 1 August 1997
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 17 (4) , 793-819
- https://doi.org/10.1017/s0143385797084976
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.Keywords
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