Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$

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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  • EP ID EP262981
  • DOI 10.15330/cmp.8.1.127-133
  • Views 86
  • Downloads 0

How To Cite

Z. G. Mozhyrovska (2016). Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$. Карпатські математичні публікації, 8(1), 127-133. https://europub.co.uk/articles/-A-262981