On metrizable (LF)-spaces
type: Item
instance of: scholarly article
title: On metrizable (LF)-spaces
zbMATH Open document ID: 0549.46002
author: Pedro Perez Carreras
author: Manuel Valdivia
published in: Collectanea Mathematica
publication date: 1982-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/44207
review text: 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.
Mathematics Subject Classification ID: 46A13
Mathematics Subject Classification ID: 46A11
Mathematics Subject Classification ID: 46A04
Mathematics Subject Classification ID: 46A25
Mathematics Subject Classification ID: 46A08
Mathematics Subject Classification ID: 46M40
zbMATH DE Number: 3875962
zbMATH Keywords: non normable Fréchet space
zbMATH Keywords: (LF)-space
zbMATH Keywords: Montel
zbMATH Keywords: Schwartz
zbMATH Keywords: nuclear
zbMATH Keywords: inductive limit
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3875962