Mohamed Amouch

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math.FA2023

Hypercyclicity of operators that $λ$ -commute with the Hardy backward shift

Mohamed Amouch, Fernando León-Saavedra, M. P. Romero de la Rosa

An operator $T$ acting on a separable complex Hilbert space $H$ is said to be hypercyclic if there exists $f \in H$ such that the orbit ${T^{n} f : n \in N}$ is dense in $H$ …

math.FA2019

Supercyclicity of the left and right multiplication operators on Banach ideal of operators

Mohamed Amouch, Hamza Lakrimi

Let $X$ be a Banach space with $dim X > 1$ such that $X^{*}$ , its dual, is separable and $B (X)$ the algebra of bounded linear operators on $X$ . In this paper, we study…

Hypercyclicity of operators that λ-commute with the Hardy backward shift

Supercyclicity of the left and right multiplication operators on Banach ideal of operators

Hypercyclicity of operators that $λ$ -commute with the Hardy backward shift