Ergodic properties of composition operators on Banach spaces of analytic functions
[EN] The composition operators defined on little Bloch spaces, Bergman spaces, Hardy spaces or little weighted Bergman spaces of infinite type, when well defined, are shown to be mean ergodic if and only if they are power bounded if and only if the symbol has an interior fixed point. For these opera...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/169645 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/169645 |
| Access Level: | acceso abierto |
| Palabra clave: | Composition operator Mean ergodic operator Uniformly mean ergodic operator Power bounded operator Bloch space,Bergman space MATEMATICA APLICADA |
| Sumario: | [EN] The composition operators defined on little Bloch spaces, Bergman spaces, Hardy spaces or little weighted Bergman spaces of infinite type, when well defined, are shown to be mean ergodic if and only if they are power bounded if and only if the symbol has an interior fixed point. For these operators uniform mean ergodicity is equivalent to quasicompactness in the sense of Yosida and Kakutani. (C) 2020 Elsevier Inc. All rights reserved. |
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