Continuous norms on Fréchet lattices
type: Item
instance of: scholarly article
title: Continuous norms on Fréchet lattices
zbMATH Open document ID: 0683.46004
DOI: 10.1007/BF01191268
author: Yanyan Li
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: Consider the question: Must a Fréchet space with no continuous norm be isomorphic to a product of Fréchet spaces with continuous norm? The author shows that the answer is yes for order complete Fréchet lattices with the weak-Fatou property and for biduals of Fréchet lattices; the product terms are bands. Finally, he shows that an order continuous lattice structure can be defined on a Fréchet space with an unconditional basis.
Mathematics Subject Classification ID: 46A04
Mathematics Subject Classification ID: 46A40
Mathematics Subject Classification ID: 06F20
zbMATH DE Number: 4118964
zbMATH Keywords: order complete Fréchet lattices with the weak-Fatou property
zbMATH Keywords: biduals of Fréchet lattices
zbMATH Keywords: bands
zbMATH Keywords: order continuous lattice structure
zbMATH Keywords: Fréchet space with an unconditional basis
reviewed by: Edward J. Barbeau
MaRDI profile type: Publication
cites work: Strictly regular echelon Köthe spaces
cites work: Unconditional bases in Fréchet-spaces
cites work: APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
cites work: Q3874719
cites work: Q3711080
cites work: Q3669992
full work available at URL: https://doi.org/10.1007/bf01191268
OpenAlex ID: W1972081254
description: scientific article; zbMATH DE number 4118964