Displaying similar documents to “On the extension of holomorphic functions on a locally convex space”

Non-natural topologies on spaces of holomorphic functions

Dietmar Vogt (2013)

Annales Polonici Mathematici

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It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.