概率赋范空间的乘积空间及拓扑

On product space of probailistic normed space and its tpology

本文定义了有限个概率线性赋范空间的乘积空间,它仍是一个概率线性赋范空间。并证明了乘积空间中由概率范数导出的拓扑与乘积拓扑的等价性。本文将概率线性赋范空间简称PN空间。

In this paper,the product space of probababilistic normed space is defined,that is also a probabilistic normed space.We also proved that the topology.