Published January 14, 2021 | Version v1
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Representation of Banach lattices as L1w spaces of a vector measure defined on a δ-ring

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In this paper we prove that every Banach lattice having the Fatou property and having its s-order continuous part as an order dense subset, can be represented as the space L1 w(n) of weakly integrable functions with respect to some vector measure n defined on a d-ring.

Abstract

Ministerio de Educación y Ciencia MTM2009-12740-C03-02

Abstract

Universitat Politécnica de Valéncia PAID-10 Ref. 2149

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https://idus.us.es/handle//11441/103718
URN
urn:oai:idus.us.es:11441/103718