k-bitransitive and compound operators on Banach spaces
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 re...
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Department of Mathematics and Computer Science, North University of Baia Mare
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/54651/1/k-bitransitive%20and%20compound%20operators%20on%20Banach%20spaces.pdf http://psasir.upm.edu.my/id/eprint/54651/ http://journals.pu.if.ua/index.php/cmp/article/view/860 |
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my.upm.eprints.546512018-04-18T04:46:36Z http://psasir.upm.edu.my/id/eprint/54651/ k-bitransitive and compound operators on Banach spaces Bamerni, Nareen Kilicman, Adem 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. Department of Mathematics and Computer Science, North University of Baia Mare 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/54651/1/k-bitransitive%20and%20compound%20operators%20on%20Banach%20spaces.pdf 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 http://journals.pu.if.ua/index.php/cmp/article/view/860 10.15330/cmp.8.1.3-10 |
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| description |
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. |
| format |
Article |
| author |
Bamerni, Nareen Kilicman, Adem |
| spellingShingle |
Bamerni, Nareen Kilicman, Adem k-bitransitive and compound operators on Banach spaces |
| author_facet |
Bamerni, Nareen Kilicman, Adem |
| author_sort |
Bamerni, Nareen |
| title |
k-bitransitive and compound operators on Banach spaces |
| title_short |
k-bitransitive and compound operators on Banach spaces |
| title_full |
k-bitransitive and compound operators on Banach spaces |
| title_fullStr |
k-bitransitive and compound operators on Banach spaces |
| title_full_unstemmed |
k-bitransitive and compound operators on Banach spaces |
| title_sort |
k-bitransitive and compound operators on banach spaces |
| publisher |
Department of Mathematics and Computer Science, North University of Baia Mare |
| publishDate |
2016 |
| url |
http://psasir.upm.edu.my/id/eprint/54651/1/k-bitransitive%20and%20compound%20operators%20on%20Banach%20spaces.pdf http://psasir.upm.edu.my/id/eprint/54651/ http://journals.pu.if.ua/index.php/cmp/article/view/860 |
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