activity
20182021
most citedOn super-recurrent operators

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

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.FA20211 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

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…

math.DS2018

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…