Non-natural topologies on spaces of holomorphic functions

• Autorzy: Dietmar Vogt
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces
• 32A70: Functional analysis techniques \SeeMainly{}
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 108
• Numer: 3
• Strony: 215-217

Daty

wydano

2013

Twórcy

autor

Dietmar Vogt

• FB Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, Gauß-Str. 20, 42119 Wuppertal, Germany

Identyfikatory

DOI

10.4064/ap108-3-1