On weak convergence of probability measures in a Banach space

被引：0

作者：

Baushev A.N. ^{[1
]}

机构：

[1] St. Petersburg Railway University,

来源：

Journal of Mathematical Sciences | 2002年 / 109卷 / 6期

关键词：

Distribution Function; Probability Distribution; Banach Space; Probability Measure; Weak Convergence;

D O I：

10.1023/A:1014512929198

中图分类号：

学科分类号：

摘要：

Necessary and sufficient conditions are obtained for weak convergence of Borel probability distributions in a separable strictly normed Banach space with a continuous modulus of convexity. These conditions are given in terms of simultaneous convergence of the distribution functions of the norm and of all linear continuous junctionals with respect to the sequence of distributions under consideration. ©2002 Plenum Publishing Corporation. © 2002 Plenum Publishing Corporation.

引用

页码：2037 / 2046

页数：9

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