Some results on Fréchet spaces with the density condition
type: Item
instance of: scholarly article
title: Some results on Fréchet spaces with the density condition
zbMATH Open document ID: 0732.46002
DOI: 10.1007/BF01197327
published in: Archiv der Mathematik
publication date: 1992-01-01T00:00:00Z
review text: This article includes several results about locally convex spaces with the density condition of Heinrich. The first result answers a question of Bonet and Dierolf. Precisely, if E is a Fréchet space such that its bidual \(E''\) has the density condition (DC), then E also has it. The second result shows that the class of (DF)-spaces with the dual density condition (DDC) satisfies the ``three-space-problem''. Some related results are also included.
Mathematics Subject Classification ID: 46A04
zbMATH DE Number: 4210817
zbMATH Keywords: locally convex spaces with the density condition of Heinrich
zbMATH Keywords: Fréchet space
zbMATH Keywords: (DF)-spaces with the dual density condition
zbMATH Keywords: three-space-problem
author: A. Peris
reviewed by: A. Peris
MaRDI profile type: Publication
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cites work: On the three-space-problem for topological vector spaces
full work available at URL: https://doi.org/10.1007/bf01197327
OpenAlex ID: W2035634793
description: scientific article; zbMATH DE number 4210817