3 papers
math.FA2024
Embedding of some classes of operators into strongly continuous semigroups
Isabelle Chalendar, Romain Lebreton
In this paper we study the embedding problem of an operator into a strongly continuous semigroup. We obtain characterizations for some classes of operators, namely composition oper…
math.CV2024
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…
math.CV2024
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…