On exhaustive vector measures

Certain conditions related with the De Wilde and Valdivia closed graph theorems enable us to guarantee the exhaustivity of certain bounded vector measures. To obtain some of the e conditions we show incidentally that  the bounded countably valued scalar function space with the supremum norm is ultra...

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Autores:
Ferrando, Juan Carlos
López-Pellicer, Manuel
Tipo de recurso:
Article of journal
Fecha de publicación:
1994
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43488
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43488
http://bdigital.unal.edu.co/33586/
Palabra clave:
Closed graph theorems
spaces Tr and Ar
barrelled spaces
finitely (countably) additive vector measure
bounded vector measure
exhaustive vector measure
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Certain conditions related with the De Wilde and Valdivia closed graph theorems enable us to guarantee the exhaustivity of certain bounded vector measures. To obtain some of the e conditions we show incidentally that  the bounded countably valued scalar function space with the supremum norm is ultrabornological.