Hypercyclic composition operators on Hilbert spaces of analytic functions

Authors

  • A. V. Zagorodnyuk Lviv Commercial Academy, 10 Tuhan-Baranovsky Str., Lviv, 79005, Ukraine https://orcid.org/0000-0002-5554-4342
  • Z. H. Mozhyrovska Vasyl Stefanyk Prykarpatskyi National University, 57 Shevchenka Str., Ivano-Frankivsk, 76000, Ukraine 

DOI:

Keywords:

Hypercyclic operators, composition operators, Hilbert space of analytic functions

Abstract

In the paper we consider composition operators on Hilbert spaces of analytic functions of infinitely many variables. In particular, we establish some conditions under which composition operators are hypercyclic and construct some examples of Hilbert spaces of analytic functions which do not admit hypercyclic operators of composition with linear operators.

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Published

2014-09-25

Issue

Vol. 20 No. 3 (2014)

Section

Articles

How to Cite

Zagorodnyuk, A. V., and Z. H. Mozhyrovska. “Hypercyclic Composition Operators on Hilbert Spaces of Analytic Functions”. Methods of Functional Analysis and Topology, vol. 20, no. 3, Sept. 2014, pp. 284-91, https://zen.imath.kiev.ua/index.php/mfat/article/view/584.