Abstract

GUZMAN-PARTIDA, MARTHA. Representation of Vector Measures. Rev.colomb.mat. [online]. 2010, vol.44, n.2, pp.129-147. ISSN 0034-7426.

In this survey article, we give four equivalent classical versions of the Radon-Nikodým property for Banach spaces, namely, the Riesz representation theorem, the Lewis-Stegall theorem, a result on differentiability of absolutely continuous functions and finally, a geometric characterization of the Banach space.

Keywords : Vector measures; Bochner integral; Radon-Nikodým property.

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