activity
20182022
most citedOn supercyclic sets of operators

2 citations · 4 across the 7 of their papers we have counts for

collaborators

9 papers

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…

math.FA2021

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)…

math.FA2021

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…

math.FA2021★ 1 cited

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…

math.FA2019★ 1 cited

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…