Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces
We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/139289 |
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| _version_ | 1832549282850275328 |
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| author | Zoryana Mozhyrovska Andriy V. Zagorodnyuk |
| author_facet | Zoryana Mozhyrovska Andriy V. Zagorodnyuk |
| author_sort | Zoryana Mozhyrovska |
| collection | DOAJ |
| description | We consider special
Hilbert spaces of analytic functions of
many infinite variables and examine composition operators
on these
spaces. In particular, we prove that under some conditions a
translation operator is bounded and hypercyclic. |
| format | Article |
| id | doaj-art-0d580bf62b7f48528eca2f36fc671330 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0d580bf62b7f48528eca2f36fc6713302025-02-03T06:11:36ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/139289139289Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert SpacesZoryana Mozhyrovska0Andriy V. Zagorodnyuk1Lviv Commercial Academy, 10 Tugan-Baranovsky Street, Lviv 79005, UkraineVasyl Stefanyk Precarpathian National University, 57 Shevchenko Street, Ivano-Frankivsk 76018, UkraineWe consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.http://dx.doi.org/10.1155/2015/139289 |
| spellingShingle | Zoryana Mozhyrovska Andriy V. Zagorodnyuk Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces Journal of Function Spaces |
| title | Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces |
| title_full | Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces |
| title_fullStr | Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces |
| title_full_unstemmed | Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces |
| title_short | Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces |
| title_sort | hypercyclic behavior of translation operators on spaces of analytic functions on hilbert spaces |
| url | http://dx.doi.org/10.1155/2015/139289 |
| work_keys_str_mv | AT zoryanamozhyrovska hypercyclicbehavioroftranslationoperatorsonspacesofanalyticfunctionsonhilbertspaces AT andriyvzagorodnyuk hypercyclicbehavioroftranslationoperatorsonspacesofanalyticfunctionsonhilbertspaces |