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Hypercyclic and mixing operator semigroups (1209.0974v1)
Published 5 Sep 2012 in math.FA
Abstract: We describe a class of topological vector spaces admitting a mixing uniformly continuous operator group ${T_t}{t\in\Cn}$ 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 ${T_t}{t\geq 0}$.