On some dense subspaces of topological linear spaces. II. (English) Zbl 0770.46001

We are mainly concerned with the existence and properties of some special dense subspaces of \(F\)-spaces and of more general topological linear spaces. The subspaces considered include \(\kappa\)-subspaces, spaces which have property (K) and Baire spaces (see Section 2 for some terminological explanations). In the \(F\)-space case, each of these classes of subspaces is strictly smaller than the next one. This is still so under various additional assumptions, which is a central theme of this paper.
[For part I see the second author, Stud. Math. 77, 413-421 (1984; Zbl 0552.46002)].


46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
46A04 Locally convex Fréchet spaces and (DF)-spaces


Zbl 0552.46002