On the Banach lattice structure of L^1_w of a vector measure on a \delta-ring

• Autores: José Manuel Calabuig Rodríguez, Olvido Delgado Garrido, M.A. Juan, Enrique Alfonso Sánchez Pérez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 1, 2014, págs. 67-85
• Idioma: inglés
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• Resumen

  • We study some Banach lattice properties of the space ?1?(?) of weakly integrable functions with respect to a vector measure ? defined on a ? -ring. Namely, we analyze order continuity, order density and Fatou type properties. We will see that the behavior of ?1?(?) differs from the case in which ? is defined on a ? -algebra whenever ? does not satisfy certain local ? -finiteness property.