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Invariant subspaces of parabolic self-maps in the Dirichlet space |
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| Authors: | Alfonso Montes-Rodrí guez,Manuel Ponce-Escudero |
| Affiliation: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain |
| Abstract: | In this note, it is provided a complete description of the lattice of invariant subspaces of a composition operator acting on the Dirichlet space and whose inducing symbol is a parabolic non-automorphism. |
| Keywords: | Lattice of parabolic non-automorphisms Dirichlet spaces Composition operators Completely normal operator |
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