Arafat Abbar

collaborators

2 papers

math.FA2023

A note on the spectrum of Lipschitz operators and composition operators on Lipschitz spaces

Arafat Abbar, Clément Coine, Colin Petitjean

Fix a metric space $M$ and let $Lip_{0} (M)$ be the Banach space of complex-valued Lipschitz functions defined on $M$ . A weighted composition operator on $Lip_{0} (M)$ …

math.FA2023

Orbits of the Backward Shifts with limit points

Evgeny Abakumov, Arafat Abbar

We show that the bilateral backward shift on $ℓ^{p} (Z, ω)$ that has a projective orbit with a non-zero limit point is supercyclic. This phenomenon holds also for $Γ$ -super…