Dynamics of tuples of matrices

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dc.creatorCostakis, George
dc.creatorHadjiloucas, Demetris
dc.creatorManoussos, Antonios
dc.date2008-03-24
dc.date.accessioned2026-07-07T09:28:07Z
dc.date.available2026-07-07T09:28:07Z
dc.descriptionIn this article we answer a question raised by N. Feldman in \cite{Feldman} concerning the dynamics of tuples of operators on $\mathbb{R}^n$. In particular, 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 $\mathbb{R}$ such that $(A_1, A_2, ..., A_n)$ is hypercyclic. We also establish related results for tuples of $2\times 2$ matrices over $\mathbb{R}$ or $\mathbb{C}$ being in Jordan form.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0803.3402
dc.identifierhttp://arxiv.org/abs/0803.3402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157337
dc.subjectFunctional Analysis
dc.subject47A16
dc.titleDynamics of tuples of matrices
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