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• W4360986983 abstract "Abstract In this paper, we study the cyclicity problem with respect to the forward shift operator S b acting on the de Branges–Rovnyak space ℋ ( b ) associated to a function b in the closed unit ball of H ∞ and satisfying log(1− | b | ∈ L 1 (𝕋). We present a characterisation of cyclic vectors for S b when b is a rational function which is not a finite Blaschke product. This characterisation can be derived from the description, given in [22], of invariant subspaces of S b in this case, but we provide here an elementary proof. We also study the situation where b has the form b = (1+ I )/2, where I is a non-constant inner function such that the associated model space K I = ℋ ( I ) has an orthonormal basis of reproducing kernels." @default.
• W4360986983 created "2023-03-30" @default.
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• W4360986983 date "2023-05-01" @default.
• W4360986983 modified "2023-09-24" @default.
• W4360986983 title "Cyclicity in de Branges–Rovnyak spaces" @default.
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• W4360986983 doi "https://doi.org/10.2478/mjpaa-2023-0016" @default.
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