Preduals of Spaces of Vector-Valued Holomorphic Functions |
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Authors: | Christopher Boyd |
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Institution: | (1) Department of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland |
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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 ![tau](/content/t62115050447h747/xxlarge964.gif) 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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Keywords: | holomorphic functions Fré chet spaces preduals |
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