On supercyclicity of operators from a supercyclic semigroup |
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| Authors: | Stanislav Shkarin |
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| Institution: | Queens?s University Belfast, Pure Mathematics Research Centre, University road, Belfast, BT7 1NN, UK |
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| 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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| Keywords: | Hypercyclic semigroups Hypercyclic operators Supercyclic operators Supercyclic semigroups |
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