Rosenthal sets and the Radon-Nikodym property

Journal of the Australian Mathematical Society

Patrick N. Dowling¹ 

关键词: 46 B 22;    43 A 46;   

DOI  :  10.1017/S1446788700037125

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let X be a complex Banach space, G a compact abelian metrizable group and Λ a subset of Ĝ, the dual group of G. If X has the Radon-Nikodym property andis separable thenhas the Radon-Nikodym property. One consequence of this is that CΛ(G, X) has the Radon-Nikodym property whenever X has the Radon-Nikodym property and the Schur property and Λ is a Rosenthal set. A partial stability property for products of Rosenthal sets is also obtained.

【 授权许可】

Unknown