Frechet spaces without continuous norms and without bases. (English) Zbl 0407.46002

Moscatelli, V. B.

Bull. Lond. Math. Soc. 12, 63-66 (1980).

MSC:

46A04	Locally convex Fréchet spaces and (DF)-spaces
46A13	Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11	Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
46A35	Summability and bases in topological vector spaces
46B03	Isomorphic theory (including renorming) of Banach spaces

Keywords:

Continuous Norms; Bases; Frechet Spaces; Nuclear Spaces