Citation
Bamerni, Nareen and Kilicman, Adem
(2017)
On subspace-diskcyclicity.
Arab Journal of Mathematical Sciences, 23 (2).
pp. 133-140.
ISSN 1319-5166
Abstract
In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace-hypercyclic for any subspaces. Also, we show that the inverses of invertible subspace-diskcyclic operators do not need to be subspace-diskcyclic for any subspaces. Finally, we prove that every finite-dimensional Banach space over the complex field supports a subspace-diskcyclic operator.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1016/j.ajmsc.2016.06.001 |
| Publisher: | King Saud University |
| Keywords: | Diskcyclic operators; Dynamics of linear operators in Banach spaces |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 Jul 2017 02:48 |
| Last Modified: | 04 Jul 2017 02:48 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.ajmsc.2016.06.001 |
| URI: | http://psasir.upm.edu.my/id/eprint/56227 |
| Statistic Details: | View Download Statistic |
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