Dunford property for composition operators on Hp-spaces
The Dunford property (C) for composition operators on $H^p$-spaces ($1 < p < \infty$), as well as for their adjoints, is completely characterized within the class of those induced by linear fractional transformations of the unit disc. As a consequence, it is shown that the Dunford property is...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/129161 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/129161 |
| Access Level: | acceso abierto |
| Palavra-chave: | Dunford property (C) Decomposable operators Local spectral theory Composition operators Análisis funcional y teoría de operadores Análisis matemático 1202.03 Álgebra y Espacios de Banach 1202.09 Funciones de Una Variable Compleja 1202.14 Espacio de Hilbert |
| Resumo: | The Dunford property (C) for composition operators on $H^p$-spaces ($1 < p < \infty$), as well as for their adjoints, is completely characterized within the class of those induced by linear fractional transformations of the unit disc. As a consequence, it is shown that the Dunford property is stable in such a class addressing a particular instance of a question posed by Laursen and Neumann. |
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