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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…