Dynamics of tuples of matrices
Costakis G, Hadjiloucas D, Manoussos A (2009)
Proceedings of the American Mathematical Society 137(03): 1025-1034.
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Autor*in
Costakis, G.;
Hadjiloucas, D.;
Manoussos, AntoniosUniBi
Einrichtung
Abstract / Bemerkung
In this article we answer a question raised by N. Feldman in 2008 concerning the dynamics of tuples of operators on R-n. In particular, we prove that for every positive integer n >= 2 there exist n-tuples (A1, A2,..., A(n)) of n x n matrices over R such that (A1, A2,..., A(n)) is hypercyclic. We also establish related results for tuples of 2 x 2 matrices over R or C being in Jordan form.
Stichworte
Hypercyclic operators;
tuples of matrices
Erscheinungsjahr
2009
Zeitschriftentitel
Proceedings of the American Mathematical Society
Band
137
Ausgabe
03
Seite(n)
1025-1034
ISSN
0002-9939
Page URI
https://pub.uni-bielefeld.de/record/1636629
Zitieren
Costakis G, Hadjiloucas D, Manoussos A. Dynamics of tuples of matrices. Proceedings of the American Mathematical Society. 2009;137(03):1025-1034.
Costakis, G., Hadjiloucas, D., & Manoussos, A. (2009). Dynamics of tuples of matrices. Proceedings of the American Mathematical Society, 137(03), 1025-1034. https://doi.org/10.1090/s0002-9939-08-09717-7
Costakis, G., Hadjiloucas, D., and Manoussos, Antonios. 2009. “Dynamics of tuples of matrices”. Proceedings of the American Mathematical Society 137 (03): 1025-1034.
Costakis, G., Hadjiloucas, D., and Manoussos, A. (2009). Dynamics of tuples of matrices. Proceedings of the American Mathematical Society 137, 1025-1034.
Costakis, G., Hadjiloucas, D., & Manoussos, A., 2009. Dynamics of tuples of matrices. Proceedings of the American Mathematical Society, 137(03), p 1025-1034.
G. Costakis, D. Hadjiloucas, and A. Manoussos, “Dynamics of tuples of matrices”, Proceedings of the American Mathematical Society, vol. 137, 2009, pp. 1025-1034.
Costakis, G., Hadjiloucas, D., Manoussos, A.: Dynamics of tuples of matrices. Proceedings of the American Mathematical Society. 137, 1025-1034 (2009).
Costakis, G., Hadjiloucas, D., and Manoussos, Antonios. “Dynamics of tuples of matrices”. Proceedings of the American Mathematical Society 137.03 (2009): 1025-1034.
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