k-bitransitive and compound operators on Banach spaces
Functional Analysis
2015-07-07 v1
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 k-bitransitivity and compound. We show the relation between topologically mixing operators and compound operators. Also, we extend the Godefroy-Shapiro Criterion for topologically mixing operators to compound operators.
Cite
@article{arxiv.1507.01166,
title = {k-bitransitive and compound operators on Banach spaces},
author = {Nareen Bamerni and Adem Kılıçman},
journal= {arXiv preprint arXiv:1507.01166},
year = {2015}
}