Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
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...
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Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2016-06-01
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Series: | Karpatsʹkì Matematičnì Publìkacìï |
Subjects: | |
Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1418 |