### 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 $\{T_t\}_{t\geq 0}$.

describe a class of topological vector spaces admitting no supercyclic strongly continuous operator semigroups $\{T_t\}_{t\geq 0}$.

Original language | English |
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Pages (from-to) | 761–782 |

Number of pages | 22 |

Journal | Proceedings of the Edinburgh Mathematical Society |

Volume | 54 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2011 |