Hypercyclic abelian semigroup of matrices on Cn and Rn and k-transitivity (k ≥ 2)

• Ayadi, Adlene ^[1]
  1. [1] University of Gafsa

     University of Gafsa

     Túnez

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 1, 2011, págs. 35-39
• Idioma: inglés
• DOI: 10.4995/agt.2011.1699
• Enlaces
  • Texto completo
• Resumen

  • We prove that the minimal number of matrices on Cn required to forma hypercyclic abelian semigroup on Cn is n+1. We also prove that theaction of any abelian semigroup finitely generated by matrices on Cnor Rn is never k-transitive for k 2. These answer questions raised byFeldman and Javaheri.

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