Uniformity for weak order convergence of Riesz space-balued measures

被引：7

作者：

Kawabe, J ^{[1
]}

机构：

[1] Shinshu Univ, Fac Engn, Dept Math, Nagano 3808553, Japan

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2005年 / 71卷 / 02期

关键词：

D O I：

10.1017/S0004972700038235

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of the paper is to show that weak order convergence of a net of Dedekind complete Riesz space-valued sigma-measures is uniform over uniformly bounded, uniformly equicontinuous classes of functions. The paper ends with generalizing Ulam's theorem for tightness of positive, finite Borel measures to Riesz space-valued sigma-measures.

引用

页码：265 / 274

页数：10

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