A note on mean ergodic composition operators on spaces of holomorphic functions
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the composition operator being mean ergodic. We also describe the form of the symbol w...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| 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:10251/40644 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/40644 |
| Access Level: | acceso abierto |
| Palabra clave: | Composition operators Mean ergodic operators Power bounded operators Spaces of holomorphic functions MATEMATICA APLICADA |
| Sumario: | We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the composition operator being mean ergodic. We also describe the form of the symbol when the composition operator is mean ergodic. © 2011 The Author(s). |
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