Almost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes).

In this paper the authors extend the concept of almost convergence to vector-valued functions on a semigroup having a left invariant mean. They study the space of almost convergent functions and obtain characterization theorems similar to known theorems about real functions. They also establish the...

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Detalles Bibliográficos
Autores: Bombal Gordón, Fernando, Vera Boti, Gabriel
Tipo de recurso: artículo
Fecha de publicación:1975
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:español
OAI Identifier:oai:docta.ucm.es:20.500.14352/64740
Acceso en línea:https://hdl.handle.net/20.500.14352/64740
Access Level:acceso abierto
Palabra clave:517.98
Means on groups
semigroups
Análisis funcional y teoría de operadores
Descripción
Sumario:In this paper the authors extend the concept of almost convergence to vector-valued functions on a semigroup having a left invariant mean. They study the space of almost convergent functions and obtain characterization theorems similar to known theorems about real functions. They also establish the existence of a unique invariant mean on vector-valued weakly almost periodic functions.