Citation
Bamerni, Nareen and Kilicman, Adem
(2016)
k-bitransitive and compound operators on Banach spaces.
Carpathian Mathematical Publications, 8 (1).
pp. 3-10.
ISSN 1584-2851; ESSN:1843-4401
Abstract
In this this paper, we introduce new classes of operators in complex Banach spaces, which we call k -bitransitive operators and compound operators to study the direct sum of diskcyclic operators. We create a set of sufficient conditions for an operator to be k -bitransitive or compound. We give a relation between topologically mixing operators and compound operators. Also, we extend the Godefroy-Shapiro Criterion for topologically mixing operators to compound operators.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.15330/cmp.8.1.3-10 |
| Publisher: | Department of Mathematics and Computer Science, North University of Baia Mare |
| Keywords: | Hypercyclic operators; Diskcyclic operators; Weakly mixing operators; Direct sums |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 18 Apr 2018 04:46 |
| Last Modified: | 18 Apr 2018 04:46 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.15330/cmp.8.1.3-10 |
| URI: | http://psasir.upm.edu.my/id/eprint/54651 |
| Statistic Details: | View Download Statistic |
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