Some results on Fréchet spaces with the density condition
This article includes several results about locally convex spaces with the density condition of Heinrich. The first result answers a question of Bonet and Dierolf. Precisely, if E is a Fréchet space such that its bidual \(E''\) has the density condition (DC), then E also has it. The second result shows that the class of (DF)-spaces with the dual density condition (DDC) satisfies the ``three-space-problem''. Some related results are also included.
locally convex spaces with the density condition of Heinrich
(DF)-spaces with the dual density condition
scientific article; zbMATH DE number 4210817
scientific article