论文标题
一类新的本地凸空间，并带有应用
A New Class of Locally Convex Spaces with application
论文作者
论文摘要
在本文中，我们定义了局部凸拓扑矢量空间的ra子 - 尼克比类别（RN类）。 RN类的特征是使用emininorm衍生物可集成的载体定理进行矢量测量。结果表明，所有完整的Hausdorff的RNP类具有ra子nikodym属性的局部凸空间，并正确地包含在RN类中。作为应用程序，我们介绍了关于RN类的ra nikodym定理，以相对于PETTIS可集成的多函数。
In this paper we define the Radon-Nikodym class (RN class) of locally convex topological vector spaces. The RN class is characterized in terms of the Radon-Nikodym theorem for vector measures using integrable by seminorm derivatives. It is shown that the RNP class of all complete Hausdorff locally convex spaces possessing the Radon-Nikodym property is properly contained in the RN class. As an application we present a Radon-Nikodym theorem for multimeasures with respect to the Pettis integrable multifunctions in terms of the RN class.
