Can I read Dynamics of Tuples of Matrices on EtoBox?

Dynamics of Tuples of Matrices by Costakis, George; Hadjiloucas, Demetris; Manoussos, Antonios is a scholarly article available to read on EtoBox.

What is Dynamics of Tuples of Matrices about?

In this article we answer a question raised by N. Feldman in \cite{Feldman} concerning the dynamics of tuples of operators on $\mathbb{R}^n$. 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.

Author

Costakis, George; Hadjiloucas, Demetris; Manoussos, Antonios

Published

2008

Language

EN