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

Drewnowski, L.; Lipecki, Z.

Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 28, No. 2, 175-188 (1989).

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)].

MSC:

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

Citations:

Zbl 0552.46002