Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592422 | Journal of Functional Analysis | 2007 | 7 Pages |
Abstract
Let {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup. This answers in the affirmative a natural question concerning hypercyclic C0-semigroups. The analogous result for frequent hypercyclicity is also obtained.
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Mathematics
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