| 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
