本文指出了赋范线性空间上的一些局部凸拓扑的完备性与它的单位球上相应的诱导拓扑的完备性之间的关系。
The relation between the completeness of several local convex topology in normed vector space and that of induction topology of its unit ball was pointed out in this paper.
而对几乎处处极限定理和自赋范极限理论的研究则是近几十年来概率极限理论研究中的两个重要方向。
The almost sure central limit theorem and self-normalized limit theory have become two important fields of the study of probability limit theory in recent decades.
本文的目的是把增生映象的概念推广到概率赋范空间，并研究具增生映象的方程在概率赋范空间中解的存在性条件。
The purpose of this paper is to expand the concept of accretive mapping to probabilistic normed spaces and to study the existence conditions of solutions for the accretive mapping equations.
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