Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 1
Abstract
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.
Authors and Affiliations
Z. G. Mozhyrovska
Keywords
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- DOI 10.15330/cmp.8.1.127-133
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