Topological transitivity of the normalized maps induced by linear operators

• Mandal, Pabitra Narayan ^[1]
  1. [1] University of Hyderabad

     University of Hyderabad

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 1, 2022, págs. 135-143
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result holds for projective transformation as well.