Resumen

SWARTZ, Charles. Weak convergence and weak compactness in the space of integrable functions with respect to a vector measure. Proyecciones (Antofagasta) [online]. 2020, vol.39, n.1, pp.123-133. ISSN 0716-0917.  http://dx.doi.org/10.22199/issn.0717-6279-2020-01-0008.

We consider weak convergence and weak compactness in the space L1(m) of real valued integrable functions with respect to a Banach space valued measure m equipped with its natural norm. We give necessary and sufficient conditions for a sequence in L1(m) to be weak Cauchy, and we give necessary and sufficient conditions for a subset of L1(m) to be conditionally sequentially weakly compact.

Palabras clave : Weak convergence; Weak compactness; Integrable functions; Measure and integration.

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