Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617798 | Journal of Mathematical Analysis and Applications | 2011 | 7 Pages |
Abstract
We show that for every supercyclic strongly continuous operator semigroup {Tt}t⩾0 acting on a complex F-space, every Tt with t>0 is supercyclic. Moreover, the set of supercyclic vectors of each Tt with t>0 is exactly the set of supercyclic vectors of the entire semigroup.
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Physical Sciences and Engineering
Mathematics
Analysis