Reverse Martingales in Riesz Spaces

被引：0

作者：

Korostenski, Mareli ^{[1
]}

Labuschagne, Coenraad C. A. ^{[2
]}

Watson, Bruce A. ^{[3
]}

机构：

[1] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Po Wits, South Africa

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Po Wits, South Africa

[3] Univ Witwatersrand, Sch Math, Ctr Appl Anal & Number Theory, ZA-2050 Po Wits, South Africa

来源：

OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS | 2010年 / 195卷

关键词：

Reverse filtration; reverse martingales; Riesz space; CONVERGENCE; LATTICES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Reverse martingales in the measure-free setting of Dedekind complete Riesz spaces are considered. The space of such reverse martingales is shown to be a Dedekind complete Riesz space with respect to its natural ordering. By means of a reverse upcrossing theorem, we characterize the convergent reverse (sub, super) martingales in Dedekind complete Riesz spaces with weak order units.

引用

页码：213 / +

页数：3

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