k-diskcyclic operators on Banach spaces
In this paper, we define and study new classes of operators on complex Banach spaces, which we call k-diskcyclic. We use these operators to show that the direct sum of a diskcyclic operator with it self k times (k ≥ 2) does not need to be diskcyclic. However, we show that under certain conditions th...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57177/1/k-diskcyclic%20operators%20on%20Banach%20spaces.pdf |
| _version_ | 1825931560871788544 |
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| author | Bamerni, Nareen Kilicman, Adem |
| author_facet | Bamerni, Nareen Kilicman, Adem |
| author_sort | Bamerni, Nareen |
| collection | UPM |
| description | In this paper, we define and study new classes of operators on complex Banach spaces, which we call k-diskcyclic. We use these operators to show that the direct sum of a diskcyclic operator with it self k times (k ≥ 2) does not need to be diskcyclic. However, we show that under certain conditions the latter statement holds true. In particular, we show that an operator T satisfies the diskcyclic criterion if and only if T is k-diskcyclic. |
| first_indexed | 2024-03-06T09:28:36Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57177 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:36Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-571772017-09-08T05:29:57Z http://psasir.upm.edu.my/id/eprint/57177/ k-diskcyclic operators on Banach spaces Bamerni, Nareen Kilicman, Adem In this paper, we define and study new classes of operators on complex Banach spaces, which we call k-diskcyclic. We use these operators to show that the direct sum of a diskcyclic operator with it self k times (k ≥ 2) does not need to be diskcyclic. However, we show that under certain conditions the latter statement holds true. In particular, we show that an operator T satisfies the diskcyclic criterion if and only if T is k-diskcyclic. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57177/1/k-diskcyclic%20operators%20on%20Banach%20spaces.pdf Bamerni, Nareen and Kilicman, Adem (2016) k-diskcyclic operators on Banach spaces. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7). http://aip.scitation.org/doi/abs/10.1063/1.4952536 10.1063/1.4952536 |
| spellingShingle | Bamerni, Nareen Kilicman, Adem k-diskcyclic operators on Banach spaces |
| title | k-diskcyclic operators on Banach spaces |
| title_full | k-diskcyclic operators on Banach spaces |
| title_fullStr | k-diskcyclic operators on Banach spaces |
| title_full_unstemmed | k-diskcyclic operators on Banach spaces |
| title_short | k-diskcyclic operators on Banach spaces |
| title_sort | k diskcyclic operators on banach spaces |
| url | http://psasir.upm.edu.my/id/eprint/57177/1/k-diskcyclic%20operators%20on%20Banach%20spaces.pdf |
| work_keys_str_mv | AT bamerninareen kdiskcyclicoperatorsonbanachspaces AT kilicmanadem kdiskcyclicoperatorsonbanachspaces |