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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…
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 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…