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arXiv · 1209.0976

On supercyclicity of operators from a supercyclic semigroup

Stanislav Shkarin
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Abstract

We show that for every supercyclic strongly continuous operator semigroup ${T_t}_{t\geq 0}$ acting on a complex $\F$-space, every $T_t$ with $t>0$ is supercyclic. Moreover, the set of supercyclic vectors of each $T_t$ with $t>0$ is exactly the set of supercyclic vectors of the entire semigroup.

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Stanislav Shkarin. 2012-09-05. On supercyclicity of operators from a supercyclic semigroup. https://arxiv.org/abs/1209.0976

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