Locally Asplund Preduals of Spaces of Holomorphic Functions

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Defant [5] introduced the local Radon–Nikodým property for duals of locally convex spaces. This is a generalization of Asplund spaces as defined in Banach space theory. In this paper we generalise Dunford"s Theorem [7] to Banach spaces with Schauder decompositions and apply this result to spaces of holomorphic functions on balanced domains in a Banach space.