Subspaces of frequently hypercyclic functions for sequences of composition operators
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2017
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| Acceso en línea: | |
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| _version_ | 1866909097644785664 |
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| author | Bernal-González, Luis Calderón-Moreno, M. Carmen Jung, Andreas Bassas, José A. Prado |
| author_facet | Bernal-González, Luis Calderón-Moreno, M. Carmen Jung, Andreas Bassas, José A. Prado |
| contents | In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such criterion improves some already known special cases and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1712_06339 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Subspaces of frequently hypercyclic functions for sequences of composition operators Bernal-González, Luis Calderón-Moreno, M. Carmen Jung, Andreas Bassas, José A. Prado Complex Variables 30E10, 47B33, 47A16, 47B38 In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such criterion improves some already known special cases and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic. |
| title | Subspaces of frequently hypercyclic functions for sequences of composition operators |
| topic | Complex Variables 30E10, 47B33, 47A16, 47B38 |
| url | https://arxiv.org/abs/1712.06339 |