Boundary-chaotic behaviour of continuous functions under the action of operators
In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary. Several examples, including onto linear operators, left and right composition operators, multiplication operato...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/87522 |
| Acesso em linha: | https://hdl.handle.net/11441/87522 https://doi.org/10.1017/S0013091501000827 |
| Access Level: | acceso abierto |
| Palavra-chave: | Omnipresent operator DI-operator Locally compact space spaces of continuous function Cluster set Boundary-chaotic function Composition operator Dense range operator Stability near the boundary |
| Resumo: | In this paper we introduce two classes of operators on spaces of continuous functions with values in F-spaces under the action of which many functions behave chaotically near the boundary. Several examples, including onto linear operators, left and right composition operators, multiplication operators, and operators with pointwise dense range or with some stability property, are given. This new theory extends one recently developed on spaces of holomorphic functions. |
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