2 citations · 4 across the 9 of their papers we have counts for
11 papers
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…
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…
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…
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…
On super-rigid and uniformly super-rigid operators
Otmane Benchiheb, Fatimaezzahra Sadek, Mohamed Amouch
An operator acting on a Banach space is said to be super-recurrent if for each open subset of , there exist and such that $λT^n(U)…
Codiskcyclic sets of operators on complex topological vector spaces
Mohamed Amouch, Otmane Benchiheb
Let be a complex topological vector space and the set of all continuous linear operators on In this paper, we extend the notion of the codiskcyclicity of a single o…
On super-recurrent operators
Mohamed Amouch, Otmane Benchiheb
In this paper, we introduce and study the notion of super-recurrence of operators. We investigate some properties of this class of operators and show that it shares some characteri…
On recurrent sets of operators
Mohamed Amouch, Otmane Benchiheb
An operator acting on a Banach space is said to be recurrent if for each ; a nonempty open subset of , there exists such that $T^n(U)\cap U\neq\empty…
Diskcyclicity of sets of operators and applications
Mohamed Amouch, Otmane Benchiheb
In this paper, we extend the notion of diskcyclicity and disk transitivity of a single operator to a subset of . We establish a diskcyclicity criterion and we give…
On Linear Dynamics of Sets of Operators
Mohamed Amouch, Otmane Benchiheb
Let be a complex topological vector space with and the set of all continuous linear operators on . The concept of hypercyclicity for a subset of…
On supercyclic sets of operators
Mohamed Amouch, Otmane Benchiheb
Let be a complex topological vector space with dim and the space of all continuous linear operators on . In this paper, we extend the concept of supe…