Kadelburg, Zoran; Radenović, Stojan On the three-space-problem for dF spaces and their duals. (English) Zbl 1056.46001 Mat. Vesn. 54, No. 3-4, 111-115 (2002). A locally convex space \(E\) is called a dF-space if it is polar semireflexive and it has a fundamental sequence of compact sets. The dual of a Fréchet space \(F\) endowed with the topology of uniform convergence on the precompact subsets of \(F\) is a dF-space. The authors study the three-space problem for duals of barrelled dF-spaces and the duality of short exact sequences of dF-spaces. As the dual of a barrelled dF-space is Fréchet–Montel, the solution to the three-space problems follows from known results. Reviewer: José Bonet (Valencia) MSC: 46A04 Locally convex Fréchet spaces and (DF)-spaces 46A03 General theory of locally convex spaces Keywords:dual Fréchet spaces; dF spaces; 3-space-problem PDFBibTeX XMLCite \textit{Z. Kadelburg} and \textit{S. Radenović}, Mat. Vesn. 54, No. 3--4, 111--115 (2002; Zbl 1056.46001) Full Text: EuDML