Abstract
In this paper we prove that every Banach lattice having the Fatou property and having its $\sigma$-order continuous part as an order dense subset, can be represented as the space $L_w^1(\nu)$ of weakly integrable functions with respect to some vector measure $\nu$ defined on a $\delta$-ring.
Citation
O. Delgado. M. A. Juan. "Representation of Banach lattices as $L_w^1$ spaces of a vector measure defined on a $\delta$-ring." Bull. Belg. Math. Soc. Simon Stevin 19 (2) 239 - 256, march 2012. https://doi.org/10.36045/bbms/1337864270
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