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Banach Lattices of Continuous Banach Lattice-Valued Functions

✍ Scribed by Z. Ercan; A.W. Wickstead

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 188 KB
Volume: 198
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0072

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✦ Synopsis

This paper studies the Banach lattice structure of some spaces of continuous 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 this setting.

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