A supplement to a theorem of T. Ando
type: Item
instance of: scholarly article
title: A supplement to a theorem of T. Ando
zbMATH Open document ID: 0631.46025
DOI: 10.1007/BF01160958
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174028
review text: According to T. Ando a Banach lattice X has order continuous norm iff every closed ideal is the range of a positive projection. It is shown that iff X is Dedekind \(\sigma\)-complete, it suffices to require that each closed ideal be complement in X.
Mathematics Subject Classification ID: 46B42
zbMATH DE Number: 4026110
zbMATH Keywords: Banach lattice
zbMATH Keywords: order continuous norm
zbMATH Keywords: closed ideal
zbMATH Keywords: range of a positive projection
zbMATH Keywords: Dedekind \(\sigma \) -complete
zbMATH Keywords: complement
author: Y. A. Abramovich
MaRDI profile type: Publication
cites work: Banachverbände und positive Projektionen
cites work: Projections in certain Banach spaces
description: scientific article; zbMATH DE number 4026110