Banach空间中集值测度的表示定理

The Expression Theorem of Set-value Measures in Banach Spaces

本文提出了用向量测度及概率测度生成集值测度的方法,推广了文[1]的结果,并给出了有界闭凸集值测度由一族等比向量测度生成的充要条件。

In this paper we put forward a method of generating set-valued measures by using vector measures and probahility measures and then develop the resules in [1], and obtain the necessary and sufficent conditions of the closed convex set-valued measures generated by equal ratio rector measures.