概率赋范空间上的连续线性算子空间的拓扑结构

Topological Structure of Space of Linear Continuous Operators Between Menger-Probabilistic Normed Spaces

本文应用伪范族的方法研究了概率赋范空间上的连续线性算子空间的拓扑结构,给出了算子簇的逐点有界,概率拓扑有界及等度连续之间的一些关系.

In this paper, topological Structure of space of linear continuous operators betwecn Menger-Probabilistic Normed spaces, is studied by uti lizing the method of introducing pseudnorm family in this spqce. Some relations about pointwise boundness, probabilistical bonndness and equicontinuity of linear operators family are given in this paper,too.