Non-natural topologies on spaces of holomorphic functions
Dietmar Vogt
Annales Polonici Mathematici, Tome 107 (2013), p. 215-217 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:280776 
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Dietmar Vogt. Non-natural topologies on spaces of holomorphic functions. Annales Polonici Mathematici, Tome 107 (2013) pp. 215-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-3-1/