2 papers
math.FA2026
A Metric Framework for Approximate Transitivity, Mixing, and Hypercyclicity
Hadi Obaid Alshammari, Otmane Benchiheb, Dimitrios Chiotis
We study metric versions of transitivity, mixing, and hypercyclicity for continuous maps, based on intersections of the form \( f^{n}(U)\cap B_δ(V)\neq\varnothing. \) We introduce…
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…