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 |
|---|---|
| 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 |