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Dynamics of Composition Operators on Hilbert Spaces of Dirichlet Series.
- Source :
-
Bulletin of the Iranian Mathematical Society . Aug2022, Vol. 48 Issue 4, p1281-1291. 11p. - Publication Year :
- 2022
-
Abstract
- In the present work, we investigate the dynamic behavior of composition operators on Hilbert spaces of Dirichlet series. Especially, we characterize completely their cyclicity. Then it is shown that there are no hypercyclic composition operators, and given a certain class of operators whose adjoints are hypercyclic. All these indicate that there are indigent cyclic composition operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPOSITION operators
*DIRICHLET series
*HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 48
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 158205638
- Full Text :
- https://doi.org/10.1007/s41980-021-00584-w