Disjoint topological transitivity for weighted translations generated by group actions (Q2054774)
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scientific article; zbMATH DE number 7438451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Disjoint topological transitivity for weighted translations generated by group actions |
scientific article; zbMATH DE number 7438451 |
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Disjoint topological transitivity for weighted translations generated by group actions (English)
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3 December 2021
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Disjoint hypercyclic operators were introduced and investigated by Bernal-González and by Bès and Peris. The article under review gives necessary and sufficient conditions to ensure that weighted translations, generated by group actions, are disjoint topologically transitive in terms of the weights, the group element and the measure. The characterization of disjoint topological mixing is also obtained. These results are applied to quotient spaces of locally compact groups and hypergroups.
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disjoint topologically transitivity
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disjoint hypercyclicity
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locally compact group
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group action
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