# 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 language English 761–782 22 Proceedings of the Edinburgh Mathematical Society 54 3 https://doi.org/10.1017/S0013091509001515 Published - 2011