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On subspace-diskcyclicity


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
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