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

José Manuel Calabuig Rodríguez Árbol académico, Olvido Delgado Garrido Árbol académico, M.A. Juan, Enrique Alfonso Sánchez Pérez Árbol académico

  • 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.

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