Hypercyclic and chaotic semigroups of linear operators

Author:

DESCH WOLFGANG,SCHAPPACHER WILHELM,WEBB GLENN F.

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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