Cyclicity of the shift operator and a related completeness problem in de Branges-Rovnyak spaces
Complex Variables
2024-03-08 v1 Functional Analysis
Abstract
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 of . We highlight an interesting link with a completeness problem that we study using the Cauchy transform. This enables us to obtain some nice consequences on cyclicity.
Keywords
Cite
@article{arxiv.2403.04335,
title = {Cyclicity of the shift operator and a related completeness problem in de Branges-Rovnyak spaces},
author = {Emmanuel Fricain and Romain Lebreton},
journal= {arXiv preprint arXiv:2403.04335},
year = {2024}
}