Supercyclic abelian semigroups of matrices on \mathbb {C}^{n} |
| |
Authors: | Habib Marzougui |
| |
Institution: | 1. Department of Mathematics, Faculty of Science of Bizerte, University of Carthage, Jarzouna, 7021, Tunisia
|
| |
Abstract: | We give a complete characterization of a supercyclic abelian semigroup of matrices on \(\mathbb {C}^{n}\) . For finitely generated semigroups, this characterization is explicit and it is used to determine the minimal number of matrices in normal form over \(\mathbb {C}\) that form a supercyclic abelian semigroup on \({\mathbb {C}}^{n}\) . In particular, no abelian semigroup generated by \(n-1\) matrices on \(\mathbb {C}^{n}\) can be supercyclic. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|