Abstract
LetU be an open subset of a complex locally convex space E, and H(U) the space of holomorphic functions from U to C. If the dual E′ of E is nuclear with respect to the topology generated by the absolutely convex compact subsets of E, then it is shown that H(U) endowed with the compact open topology is a nuclear space. In particular, if E is the strong dual of a Fréchet nuclear space, then H(U) is a Fréchet nuclear space.
Citation
Philip J. Boland. "An example of a nuclear space in infinite dimensional holomorphy." Ark. Mat. 15 (1-2) 87 - 91, 1977. https://doi.org/10.1007/BF02386034
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