Abelian Semigroups of Matrices on ℂn and Hypercyclicity-Reference-Cited by-同舟云学术

Abelian Semigroups of Matrices on ℂn and Hypercyclicity

Published:2013-09-05 Issue:2 Volume:57 Page:323-338
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Ayadi Adlene,Marzougui Habib

Abstract

AbstractWe give a complete characterization of a hypercyclic abelian semigroup of matrices on ℂn. For finitely generated semigroups, this characterization is explicit and it is used to determine the minimal number of matrices in normal form over ℂ that form a hypercyclic abelian semigroup on ℂn. In particular, we show that no abelian semigroup generated by n matrices on ℂn can be hypercyclic.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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