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

作　　者：章芸[1] 

机构地区：[1]昆明工学院基础部

出　　处：《昆明理工大学学报（自然科学版）》1989年第6期74-78,共5页Journal of Kunming University of Science and Technology(Natural Science)

摘　　要：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.

关 键 词：概率赋范空间 连续线性算子空间 伪范簇 概率拓扑 等度连续 

分 类 号：T-55[一般工业技术]