5 papers · 1 filter
Weighted composition operators on de Branges-Rovnyak spaces
Emmanuel Fricain, Muath Karaki, Javad Mashreghi +1
In this paper, we characterize the boundedness and the compactness of weighted composition operators acting on a de Branges-Rovnyak space , where the symbol is a…
Introduction To The Dynamical Properties Of Toeplitz Operators On The Hardy Space Of The Unit Disc
Emmanuel Fricain, Maëva Ostermann
These notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators…
Schauder Basis with Finite Blaschke Products
Emmanuel Fricain, Javad Mashreghi, Mostafa Nasri +1
We construct a Schauder basis for the space , the space of holomorphic functions on the closed unit disk, consisting entirely of finite Blaschke products. The expan…
Cyclicity of the shift operator through Bezout identities
Emmanuel Fricain, Romain Lebreton
In this paper, we study the cyclicity of the shift operator acting on a Banach space $\X$ of analytic functions on the open unit disc $\D$. We develop a general framework where…
Cyclicity of the shift operator and a related completeness problem in de Branges-Rovnyak spaces
Emmanuel Fricain, Romain Lebreton
In this paper, we study the cyclic vectors of the shift operator acting on de Branges-Rovnyak space associated to a non-extreme point of the closed unit ball…