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Abstract: In this article we answer a question raised by N. Feldman in \cite{Feldman}concerning the dynamics of tuples of operators on $\mathbb{R}^n$. Inparticular, we prove that for every positive integer $n\geq 2$ there exist $n$tuples $A 1, A 2,

., A n$ of $n\times n$ matrices over $\mathbb{R}$ suchthat $A 1, A 2,

., A n$ is hypercyclic. We also establish related resultsfor tuples of $2\times 2$ matrices over $\mathbb{R}$ or $\mathbb{C}$ being inJordan form.



Author: George Costakis, Demetris Hadjiloucas, Antonios Manoussos

Source: https://arxiv.org/







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