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mixing semigroups

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Hypercyclic and mixing operator semigroups
Part of
- Ergodic theory
- General theory of linear operators
Stanislav Shkarin
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 3 / October 2011

Published online by Cambridge University Press:

27 June 2011, pp. 761-782
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We describe a class of topological vector spaces admitting a mixing uniformly continuous operator group with holomorphic dependence on the parameter t. This result builds on those existing in the literature. We also describe a class of topological vector spaces admitting no supercyclic strongly continuous operator semigroups .