Resumen de Disjoint strong transitivity of composition operators

Noureddine Karim, Otmane Benchiheb, Mohamed Amouch

• 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 .