Preduals of Spaces of Vector-Valued Holomorphic Functions


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Abstract

For U a balanced open subset of a Fréchet space E and F a dual-Banach space we introduce the topology τγ on the space of holomorphic functions from U into F. This topology allows us to construct a predual for which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions.

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