Banach lattices of continuous Banach lattice-valued functions
type: Item
instance of: scholarly article
title: Banach lattices of continuous Banach lattice-valued functions
zbMATH Open document ID: 0869.46012
author: A. W. Wickstead
author: Zafer Ercan
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-08-31T00:00:00Z
review text: The Banach lattices of scalar-valued continuous functions on compact or locally compact Hausdorff spaces are the important objects both in their own right and also as the tools of studying the underlying topological spaces. In the paper under review, the authors introduce and study the vector-valued analogues of such vector lattices, having a Banach lattice as a range space. In particular, they study various kinds of order completeness and the classical relationships between the order and the norm. They also describe the center of these new spaces. We refer for exact definitions and statements to this interesting work. Notice in conclusion that the paper continues and expands a line of investigation, the authors started in their previous paper [Turk. J. Math. 18, 272-279 (1994)].
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46B40
zbMATH DE Number: 902491
zbMATH Keywords: Banach lattices of scalar-valued continuous functions
zbMATH Keywords: vector lattices
zbMATH Keywords: completeness
zbMATH Keywords: center
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0072
OpenAlex ID: W2028582771
DOI: 10.1006/JMAA.1996.0072
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description: scientific article; zbMATH DE number 902491