Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
| Autor: | Z.G. Mozhyrovska |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 8, Iss 1, Pp 127-133 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 |
| DOI: | 10.15330/cmp.8.1.127-133 |
| Popis: | In the paper, it is proposed a method of construction of hypercyclic composition operators on $H(\mathbb{C}^n)$ using polynomial automorphisms of $\mathbb{C}^n$ and symmetric analytic functions on $\ell_p.$ In particular, we show that an "symmetric translation" operator is hypercyclic on a Frechet algebra of symmetric entire functions on $\ell_p$ which are bounded on bounded subsets. |
| Databáze: | Directory of Open Access Journals |
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