A note on order bounded vector measures
type: Item
instance of: scholarly article
title: A note on order bounded vector measures
zbMATH Open document ID: 0836.46036
DOI: 10.1007/BF01189889
author: Helmut H. Schaefer
author: Xiao-Dong Zhang
published in: Archiv der Mathematik
publication date: 1994-11-13T00:00:00Z
review text: The authors consider countable additive vector measures on \(\sigma\)- algebras of subsets with values in Banach lattices. The duality theory of Banach lattices and order bounded operators is used. The authors show that countable additivity of such measures is equivalent with certain order continuity properties of the associated operators.
Mathematics Subject Classification ID: 46G10
Mathematics Subject Classification ID: 47B65
zbMATH DE Number: 687057
zbMATH Keywords: countable additive vector measures
zbMATH Keywords: values in Banach lattices
zbMATH Keywords: duality theory of Banach lattices and order bounded operators
zbMATH Keywords: order continuity
reviewed by: Pawel Kruszynski
MaRDI profile type: Publication
cites work: Q4148368
cites work: Q3254057
cites work: Q5182141
cites work: Q5638775
cites work: Q4049667
cites work: Dual characterization of order continuity and some applications
cites work: Q3200098
cites work: Q4839477
cites work: Q3669960
Recommended article: A note on measures with values in a partially ordered vector space
Recommended article: Q4028216
Recommended article: Q4500565
Recommended article: Q3060419
Recommended article: Q3812820
Recommended article: Q4845556
Recommended article: Q3688909
Recommended article: On some properties of vector measures
Recommended article: Q3991241
Recommended article: Order-bounded operators in vector lattices and in spaces of measurable functions
description: scientific article; zbMATH DE number 687057