On normed lattices and their Banach completions
type: Item
instance of: scholarly article
title: On normed lattices and their Banach completions
zbMATH Open document ID: 1112.46018
author: A. V. Koldunov
author: A. I. Veksler
published in: Positivity
publication date: 2006-11-03T00:00:00Z
review text: The authors prove that the countable interpolation property and the sequential order completeness are preserved under Banach completion. The paper makes use of a new technique for representation of normed lattices.
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46E15
zbMATH DE Number: 5070765
zbMATH Keywords: Dedekind completion
zbMATH Keywords: Banach completion
zbMATH Keywords: order continuity
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
full work available at URL: s11117-004-2783-3
OpenAlex ID: W2040878217
cites work: Q4186829
cites work: Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions
cites work: Locally convex lattices
cites work: On the representation of Banach lattices by continuous numerical functions
cites work: Q5631608
cites work: Q4042338
DOI: 10.1007/S11117-004-2783-3
description: scientific article; zbMATH DE number 5070765