Citation
Bamerni, Nareen and Kadets, Vladimir and Kilicman, Adem
(2016)
Hypercyclic operators are subspace hypercyclic.
Journal of Mathematical Analysis and Applications, 435 (2).
pp. 1812-1815.
ISSN 0022-247X; ESSN: 1096-0813
Abstract
In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9]. In particular, we show that every hypercyclic operator is subspace-hypercyclic.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Subject: | Hypercyclicity; Subspace-hypercyclicity |
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1016/j.jmaa.2015.11.015 |
| Publisher: | Academic Press Inc. |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 19 Mar 2018 09:11 |
| Last Modified: | 19 Mar 2018 09:11 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.jmaa.2015.11.015 |
| URI: | http://psasir.upm.edu.my/id/eprint/54471 |
| Statistic Details: | View Download Statistic |
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