Citation
Bamerni, Nareen and Kilicman, Adem
(2016)
Semi chaotic operators on Banach spaces.
Expositiones Mathematicae, 34 (4).
pp. 467-474.
ISSN 0723-0869; ESSN: 1878-0792
Abstract
We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call semi chaotic operators. We show that semi chaotic operators exist on every finite dimensional Hilbert spaces. We give a semi chaotic criterion “a sufficient condition for semi chaotic operators”, we use this criterion to characterize all semi chaotic weighted shifts on ℓp(N) and ℓp (Z) in terms of their weight sequences.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1016/j.exmath.2016.06.002 |
| Publisher: | Elsevier |
| Keywords: | Diskcyclic operators; Chaotic operators; Weighted shift operators |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 01 Feb 2018 10:08 |
| Last Modified: | 01 Feb 2018 10:08 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.exmath.2016.06.002 |
| URI: | http://psasir.upm.edu.my/id/eprint/53793 |
| Statistic Details: | View Download Statistic |
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