Mean ergodic composition operators on generalized Fock spaces

[EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly mean ergodic bounded composition operators on these spaces are cha...

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Detalles Bibliográficos
Autores: Seyoum, Werkaferahu, Mengestie, Tesfa, Bonet Solves, José Antonio|||0000-0002-9096-6380
Tipo de recurso: artículo
Fecha de publicación:2019
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:10251/162602
Acceso en línea:https://riunet.upv.es/handle/10251/162602
Access Level:acceso abierto
Palabra clave:Composition operators
Generalized Fock spaces
Power bounded operator
Mean ergodic operator
Uniformly mean ergodic operator
MATEMATICA APLICADA
Descripción
Sumario:[EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly mean ergodic bounded composition operators on these spaces are characterized in terms of the symbol. The behaviour for p=0 and p=infinity differs. The set of periodic points of these operators is also determined.