BANACH-LATTICES OF CONTINUOUS BANACH LATTICE-VALUED FUNCTIONS

Authors
ERCAN Z WICKSTEAD AW
Citation
Z. Ercan et Aw. Wickstead, BANACH-LATTICES OF CONTINUOUS BANACH LATTICE-VALUED FUNCTIONS, Journal of mathematical analysis and applications, 198(1), 1996, pp. 121-136
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
198
Issue
1
Year of publication
1996
Pages
121 - 136
Database
ISI
SICI code
0022-247X(1996)198:1<121:BOCBLF>2.0.ZU;2-P
Abstract
This paper studies the Banach lattice structure of some spaces of cont inuous functions taking values in a Banach lattice. We determine when they satisfy various kinds of order theoretic completeness conditions and what properties the norm in such a Banach lattice may possess and describe their centres. Various extension and separation results known for spaces of real-valued continuous functions are generalised to thi s setting. (C) 1996 Academic Press, Inc.