On the Banach lattice structure of L-w(1) of a vector measure on a delta-ring

We study some Banach lattice properties of the space L-w(1)(v) of weakly integrable functions with respect to a vector measure v defined on a delta-ring. Namely, we analyze order continuity, order density and Fatou type properties. We will see that the behavior of L-w(1)(v) differs from the case in...

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Detalles Bibliográficos
Autores: Calabuig, J. M.|||0000-0001-8398-8664, Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154, Delgado Garrido, Olvido, Juan Blanco, María Aránzazu
Tipo de recurso: artículo
Fecha de publicación:2014
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:10251/60466
Acceso en línea:https://riunet.upv.es/handle/10251/60466
Access Level:acceso abierto
Palabra clave:Banach lattice
Delta-ring
Fatou property
Order density
Order continuity
Integration with respect to vector measures
MATEMATICA APLICADA
Descripción
Sumario:We study some Banach lattice properties of the space L-w(1)(v) of weakly integrable functions with respect to a vector measure v defined on a delta-ring. Namely, we analyze order continuity, order density and Fatou type properties. We will see that the behavior of L-w(1)(v) differs from the case in which is defined on a sigma-algebra whenever does not satisfy certain local sigma-finiteness property.

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