Chaotic behaviour on invariant sets of linear operators
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866911790255833088 |
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| author | Murillo-Arcila, Marina Peris, Alfredo |
| author_facet | Murillo-Arcila, Marina Peris, Alfredo |
| contents | We study hypercyclicity, Devaney chaos, topological mixing properties and strong mixing in the measure-theoretic sense for operators on topological vector spaces with invariant sets. More precisely, our purpose is to establish links between the fact of satisfying any of these properties on certain invariant sets, and the analogous property on the closed span of the invariant set. We also give examples that illustrate these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_1978 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Chaotic behaviour on invariant sets of linear operators Murillo-Arcila, Marina Peris, Alfredo Functional Analysis Dynamical Systems 47A16 We study hypercyclicity, Devaney chaos, topological mixing properties and strong mixing in the measure-theoretic sense for operators on topological vector spaces with invariant sets. More precisely, our purpose is to establish links between the fact of satisfying any of these properties on certain invariant sets, and the analogous property on the closed span of the invariant set. We also give examples that illustrate these results. |
| title | Chaotic behaviour on invariant sets of linear operators |
| topic | Functional Analysis Dynamical Systems 47A16 |
| url | https://arxiv.org/abs/1206.1978 |