Hypercyclic and mixing operator semigroups

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Abstract

We describe a class of topological vector spaces admitting a mixing uniformly continuous operator group $\{T_t\}_{t\in\C^n}$ with holomorphic dependence on the parameter $t$. This result covers those existing in the literature. We also
describe a class of topological vector spaces admitting no supercyclic strongly continuous operator semigroups $\{T_t\}_{t\geq 0}$.
Original languageEnglish
Pages (from-to)761–782
Number of pages22
JournalProceedings of the Edinburgh Mathematical Society
Volume54
Issue number3
DOIs
Publication statusPublished - 2011

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