On subspace-diskcyclicity
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 th...
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King Saud University
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56227/1/On%20subspace-diskcyclicity.pdf http://psasir.upm.edu.my/id/eprint/56227/ http://www.sciencedirect.com/science/article/pii/S1319516616300172# |
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my.upm.eprints.562272017-07-04T02:48:19Z http://psasir.upm.edu.my/id/eprint/56227/ On subspace-diskcyclicity Bamerni, Nareen Kilicman, Adem 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. King Saud University 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56227/1/On%20subspace-diskcyclicity.pdf Bamerni, Nareen and Kilicman, Adem (2017) On subspace-diskcyclicity. Arab Journal of Mathematical Sciences, 23 (2). pp. 133-140. ISSN 1319-5166 http://www.sciencedirect.com/science/article/pii/S1319516616300172# 10.1016/j.ajmsc.2016.06.001 |
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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. |
| format |
Article |
| author |
Bamerni, Nareen Kilicman, Adem |
| spellingShingle |
Bamerni, Nareen Kilicman, Adem On subspace-diskcyclicity |
| author_facet |
Bamerni, Nareen Kilicman, Adem |
| author_sort |
Bamerni, Nareen |
| title |
On subspace-diskcyclicity |
| title_short |
On subspace-diskcyclicity |
| title_full |
On subspace-diskcyclicity |
| title_fullStr |
On subspace-diskcyclicity |
| title_full_unstemmed |
On subspace-diskcyclicity |
| title_sort |
on subspace-diskcyclicity |
| publisher |
King Saud University |
| publishDate |
2017 |
| url |
http://psasir.upm.edu.my/id/eprint/56227/1/On%20subspace-diskcyclicity.pdf http://psasir.upm.edu.my/id/eprint/56227/ http://www.sciencedirect.com/science/article/pii/S1319516616300172# |
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