Hypercyclic shifts on lattice graphs
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866929490989416448 |
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| author | Baranov, Anton Lishanskii, Andrei Papathanasiou, Dimitris |
| author_facet | Baranov, Anton Lishanskii, Andrei Papathanasiou, Dimitris |
| contents | Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs which are not trees, e.g., the lattice graphs, and study hypercyclicity of the corresponding backward shifts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13934 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hypercyclic shifts on lattice graphs Baranov, Anton Lishanskii, Andrei Papathanasiou, Dimitris Functional Analysis Recently K.-G. Grosse-Erdmann and D. Papathanasiou described hypercyclic shifts in weighted spaces on directed trees. In this note we discuss several simple examples of graphs which are not trees, e.g., the lattice graphs, and study hypercyclicity of the corresponding backward shifts. |
| title | Hypercyclic shifts on lattice graphs |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2312.13934 |