On the characterisation of Asplund spaces

Journal of the Australian Mathematical Society

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