Separately Continuous Banach-Valued Functions on Compact Groups
โ Scribed by Carroll, F. W.; Koehl, F. S.
- Book ID
- 120097402
- Publisher
- Oxford University Press
- Year
- 1971
- Tongue
- English
- Weight
- 97 KB
- Volume
- s2-4
- Category
- Article
- ISSN
- 0024-6107
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๐ SIMILAR VOLUMES
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 centr
For compacta X and Y , let SC p (X ร Y ) be the space of all separately continuous functions on the product X ร Y with the topology of pointwise convergence. We prove that any compact subspace Z in SC p (X ร Y ) is a Corson compactum in the case where X or Y is ccc (= has the Souslin property). We s