期刊论文详细信息
Journal of the Australian Mathematical Society | |
On the characterisation of Asplund spaces | |
J. R. Giles1  | |
关键词: 46 B 20; 46 B 22; | |
DOI : 10.1017/S1446788700024472 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
A Banach space is an Asplund space if every continuous convex function on an open convex subset is Fréchet differentiable on a dense G8 subset of its domain. The recent research on the Radon-Nikodým property in Banach spaces has revealed that a Banach space is an Asplund space if and only if every separable subspace has separable dual. It would appear that there is a case for providing a more direct proof of this characterisation.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040543390ZK.pdf | 488KB | download |