Each weakly countably determined Asplund space admits a Fréchet differentiable norm
نویسندگان
چکیده
منابع مشابه
Weakly Countably Determined Spaces of High Complexity
We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the existence of a cofinal adequate family of closed sets. Therefore the Banach spaces constructed by means of these families have at most coanalytic complexity.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1987
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497270000366x