Arafat Abbar

activity

20202026

most citedOn several dynamical properties of shifts acting on directed trees

7 citations · 11 across the 6 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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

A pre-adjoint approach on weighted composition operators between spaces of Lipschitz functions

Arafat Abbar, Clément Coine, Colin Petitjean

We consider weighted composition operators, that is operators of the type $g \mapsto w \cdot g \circ f$ , acting on spaces of Lipschitz functions. Bounded weighted composition opera…

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…