3 papers
math.FA2025
Luh hypercyclic vector for composition operator
Otmane Benchiheb, Stefan Ivkovic, Noureddine Karim +1
In this paper, we deal with the construction of holomorphic functions on a simply connected domain satisfying that all its derivatives and antiderivatives under a composition opera…
math.FA2022
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 . Fo…
math.FA2021
Recurrence of multiples of composition operators on weighted Dirichlet spaces
Noureddine Karim, Otmane Benchiheb, Mohamed Amouch
A bounded linear operator acting on a Hilbert space is said to be recurrent if for every non-empty open subset there is an integer such…