On metrizable (LF)-spaces (Q800600)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On metrizable (LF)-spaces |
scientific article; zbMATH DE number 3875962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On metrizable (LF)-spaces |
scientific article; zbMATH DE number 3875962 |
Statements
On metrizable (LF)-spaces (English)
0 references
1982
0 references
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.
0 references
non normable Fréchet space
0 references
(LF)-space
0 references
Montel
0 references
Schwartz
0 references
nuclear
0 references
inductive limit
0 references
