9 papers
Embedding of Toeplitz operators with smooth symbols into strongly continuous semigroups
Emmanuel Fricain, Sophie Grivaux, Maëva Ostermann +1
Using the model theory for Toeplitz operators with smooth symbols developed by the fourth author in the 80's, we study whether such operators can be embedded into a …
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…
The Cowen-Douglas class and de Branges-Rovnyak spaces
Emmanuel Fricain, Jaydeb Sarkar
We establish a connection between the de Branges-Rovnyak spaces and the Cowen-Douglas class of operators which is associated with complex geometric structures. We prove that the ba…
Hypercyclicity of Toeplitz operators with smooth symbols
Emmanuel Fricain, Sophie Grivaux, Maëva Ostermann
This paper is devoted to the study of the dynamics of Toeplitz operators with smooth symbols on the Hardy spaces of the unit disk , . Building on a model theory…
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…
Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup
Ihab Alam, Isabelle Chalendar, Fida El Chami +2
In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class on , as well as…
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…