Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces

We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b). For the compactness of Tϕ¯,b{T_{\bar \varphi ,b}}, we will see that the result depends on the boundary spectrum of b. We will prove...

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Bibliographic Details
Main Author: Alhajj Rim
Format: Article
Language:English
Published: De Gruyter 2020-02-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2020-0004