Martingale inequalities in noncommutative symmetric spaces

被引：17
|
作者：
Jiao, Yong [1 ]
机构：
[1] Cent S Univ, Inst Probabil & Stat, Changsha 410075, Hunan, Peoples R China
来源：
ARCHIV DER MATHEMATIK | 2012年 / 98卷 / 01期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Noncommutative martingale; Burkholder-Gundy's inequalities; Symmetric operator spaces; MEASURABLE OPERATORS;
D O I：
10.1007/s00013-011-0343-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the Burkholder-Gundy inequalities in a noncommutative symmetric space E(M) associated with a von Neumann algebra M equipped with a faithful normal state. The results extend the Pisier-Xu noncommutative martingale inequalities, and generalize the classical inequalities in the commutative case.
引用
收藏
页码：87 / 97
页数：11
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