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

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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Main Author: Z.G. Mozhyrovska
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2016-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
hypercyclic operators
functional spaces
symmetric functions
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1418
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spelling doaj-00c74a9a857e4f4fa7096f3f953210562020-11-25T03:06:43ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102016-06-018112713310.15330/cmp.8.1.127-1331418Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$Z.G. Mozhyrovska0Lviv University of Trade and Economics, 10 Tuhan-Baranovskyi str., 79005, Lviv, UkraineIn 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.https://journals.pnu.edu.ua/index.php/cmp/article/view/1418hypercyclic operatorsfunctional spacessymmetric functions
collection DOAJ
language English
format Article
sources DOAJ
author Z.G. Mozhyrovska
spellingShingle Z.G. Mozhyrovska
Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
Karpatsʹkì Matematičnì Publìkacìï
hypercyclic operators
functional spaces
symmetric functions
author_facet Z.G. Mozhyrovska
author_sort Z.G. Mozhyrovska
title Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
title_short Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
title_full Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
title_fullStr Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
title_full_unstemmed Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
title_sort hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
publisher Vasyl Stefanyk Precarpathian National University
series Karpatsʹkì Matematičnì Publìkacìï
issn 2075-9827
2313-0210
publishDate 2016-06-01
description 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.
topic hypercyclic operators
functional spaces
symmetric functions
url https://journals.pnu.edu.ua/index.php/cmp/article/view/1418
work_keys_str_mv AT zgmozhyrovska hypercyclicoperatorsonalgebraofsymmetricanalyticfunctionsonellp
_version_ 1724672825348849664

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