拟概率赋范空间的结构分析

Analysis on Topological Structure In Quasi-probability Normed Spaces

本文引入了拟概率赋范空间的概念,讨论了它的线性拓扑结构,获得了关于局部凸性,可度量化等若干定理.从某种角度发展了概率赋范空间的理论.

In this paper, New notion about quasi-probability normed spaces are introduced. We discuss its linear topologicol structure and give sometheorems about locally convex property、metrizability, and so on.Following result is proved. Quasi-MPN spaces are metrizable locally convex spaces.In some degree, theory on probability normed spaces are developed.