The range of an o-weakly compact mapping

Journal of the Australian Mathematical Society

P. G. Dodds¹ 

关键词: primary 46 A 40;    secondary 28 B 05;    28 C 05;   

DOI  :  10.1017/S144678870002615X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is shown that a weakly compact convex set in a locally convex space is a zonoform if and only if it is the order continuous image of an order interval in a Dedekind complete Riesz space. While this result implies the Kluv´nek characterization of the range of a vector measure, the techniques of the present paper are purely order theoretic.

【 授权许可】

Unknown