Some Kinds of Uniform Integrability and Laws of Large Numbers in Noncommutative Probability

被引：4

作者：

Nguyen Van Quang ^{[1
]}

Do The Son ^{[2
]}

Le Hong Son ^{[3
]}

机构：

[1] Vinh Univ, Dept Math, Vinh City, Nghe An Provinc, Vietnam

[2] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Thanh Hoa Campus, Ho Chi Minh City, Vietnam

[3] Vinh Univ Technol Educ, Fac Gen Educ, Vinh City, Vietnam

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2018年 / 31卷 / 02期

关键词：

Uniform integrability; Law of large numbers; Measurable operator; von Neumann algebra; Bilateral almost uniform convergence; CESARO ALPHA-INTEGRABILITY; WEAK LAW;

D O I：

10.1007/s10959-017-0740-x

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The aim of this paper is to propose some equivalent conditions of uniform integrability for a sequence of measurable operators. Based on this result, we introduce some kinds of CesA ro uniform integrability in noncommutative probability. In addition, several results on the laws of large numbers related to these notions are established. Our results not only generalize related previously reported results but also improve them.

引用

页码：1212 / 1234

页数：23

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