Some properties of vector measures taking values in a topological vector space

Journal of the Australian Mathematical Society

Efstathios Giannakoulias¹ 

关键词: 38 B 05;   

DOI  :  10.1017/S1446788700029360

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we study some properties of vector measures with values in various topological vector spaces. As a matter of fact, we give a necessary condition implying the Pettis integrability of a function f: S → E, where S is a set and E a locally convex space. Furthermore, we prove an iff condition under which (Q, E) has the Pettis property, for an algebra Q and a sequentially complete topological vector space E. An approximating theorem concerning vector measures taking values in a Fréchet space is also given.

【 授权许可】

Unknown