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
收藏
页码：213 / +
页数：3
相关论文
共 50 条
  • [31] SPACES OF RIESZ POTENTIALS
    TORCHINS.A
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A578 - A579
  • [32] HYPERCOMPLETIONS OF RIESZ SPACES
    FILTER, W
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (03) : 775 - 780
  • [33] Amarts on Riesz spaces
    Wen Chi Kuo
    Coenraad C. A. Labuschagne
    Bruce A. Watson
    Acta Mathematica Sinica, English Series, 2008, 24 : 329 - 342
  • [34] Amarts on Riesz spaces
    Kuo, Wen Chi
    Labuschagne, Coenraad C. A.
    Watson, Bruce A.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (02) : 329 - 342
  • [35] Serninorms on ordered vector spaces that extend to Riesz seminorms on larger Riesz spaces
    van Gaans, O
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2003, 14 (01): : 15 - 30
  • [36] Orthogonal martingales under differential subordination and applications to riesz transforms
    Banuelos, R
    Wang, G
    ILLINOIS JOURNAL OF MATHEMATICS, 1996, 40 (04) : 678 - 691
  • [37] On some Banach spaces of martingales associated with function spaces
    Kikuchi, Masato
    FORUM MATHEMATICUM, 2012, 24 (04) : 769 - 789
  • [38] 2-Universally complete Riesz spaces and inverse-closed Riesz spaces
    Montalvo, F.
    Pulgarin, A.
    Requejo, B.
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2006, 17 (02): : 285 - 295
  • [39] RIESZ SPACES AND TYPE-(C) SPACES
    PORTENIER, C
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (18): : 850 - +
  • [40] Tree Martingales in Noncommutative Probability Spaces
    Ghadir Sadeghi
    Complex Analysis and Operator Theory, 2020, 14
12345