Disjoint strong transitivity of composition operators

• Karim, Noureddine ^[1] ; Benchiheb, Otmane ^[1] ; Amouch, Mohamed ^[1]
  1. [1] Department of Mathematics, Faculty of science, Chouaib Doukkali University, El Jadida, Morocco
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 1, 2024, págs. 171-187
• Idioma: inglés
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• Resumen

  • A Furstenberg family is a collection of infinite subsets of the set of positive integers such that if and , then . For a Furstenberg family , finitely many operators acting on a common topological vector space X are said to be disjoint -transitive if for every non-empty open subsets of X the set belongs to . In this paper, depending on the topological properties of , we characterize the disjoint -transitivity of composition operators acting on the space of holomorphic maps on a domain by establishing a necessary and sufficient condition in terms of their symbols .