Geodesic
Non-natural topologies on spaces of holomorphic functions
Dietmar Vogt1
1FB Mathematik und Naturwissenschaften Bergische Universität Wuppertal Gauß-Str. 20 42119 Wuppertal, Germany
Annales Polonici Mathematici, Tome 108 (2013) no. 3, pp. 215-217
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap108-3-1
Keywords: shown every proper chet space weak * separable dual admits uncountably many inequivalent chet topologies applies particular spaces holomorphic functions solving negative problem jarnicki pflug example short self contained proof added

Dietmar Vogt  1

1 FB Mathematik und Naturwissenschaften Bergische Universität Wuppertal Gauß-Str. 20 42119 Wuppertal, Germany 
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Dietmar Vogt. Non-natural topologies on spaces of holomorphic functions. Annales Polonici Mathematici, Tome 108 (2013) no. 3, pp. 215-217. doi: 10.4064/ap108-3-1

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