On metrizable (LF)-spaces
The following results are proved: 1. Every non normable Fréchet space contains a proper dense subspace which is an (LF)-space. 2. If E is a non normable reflexive (Montel, Schwartz, nuclear) Fréchet space there is a proper dense subspace of E which is an inductive limit of a countable sequence of reflexive (Montel, Schwartz, nuclear) Fréchet spaces.
scientific article; zbMATH DE number 3875962