k-bitransitive and compound operators on Banach spaces
Journal Title: Карпатські математичні публікації - Year 2016, Vol 8, Issue 1
Abstract
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.
Authors and Affiliations
N. Bamerni, A. Kilicman
Keywords
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- EP ID EP262951
- DOI 10.15330/cmp.8.1.3-10
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