Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
Autor: | Z.G. Mozhyrovska |
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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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