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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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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