不可数求和型Hahn-Schur定理

数学季刊 ›› 2005, Vol. 20 ›› Issue (2): 137-140.

不可数求和型Hahn-Schur定理

1.Department of Mathematics,Jiamusi University,Jiamusi 154007,China;2.Department of Applied Mathematics,China University of Mining and Technology,Xuzhou 221008,China;3.Department of Applied Mathematics,Kumoh National Institute of Technology,Kyungbuk 730-701,Korea

收稿日期:2003-04-01 出版日期:2005-06-30 发布日期:2024-01-19
作者简介:Lü Tong-fu(1962-),male,native of Baoqing,Heilongjiang,an associate professor of Jia- musi University,engages in numberical analysis;HU Jian-hua(1963-),male,native of Xuzhou,Jiangsu,an associate professor of China University of Mining and Technology,engages in compute mathematics;CHOMin- hyung(1957-),male,native of Korea,a professor of Kumoh National Institute of Technology,Ph.D.,engages in functional analysis and applied mathematics.
基金资助:
Supported by Research Fund of Kumoh National Institute of Technology(M1100)；

The Non-countable Summation Type Hahn-Schur Theorems

1.Department of Mathematics,Jiamusi University,Jiamusi 154007,China;2.Department of Applied Mathematics,China University of Mining and Technology,Xuzhou 221008,China;3.Department of Applied Mathematics,Kumoh National Institute of Technology,Kyungbuk 730-701,Korea

Received:2003-04-01 Online:2005-06-30 Published:2024-01-19
About author:Lü Tong-fu(1962-),male,native of Baoqing,Heilongjiang,an associate professor of Jia- musi University,engages in numberical analysis;HU Jian-hua(1963-),male,native of Xuzhou,Jiangsu,an associate professor of China University of Mining and Technology,engages in compute mathematics;CHOMin- hyung(1957-),male,native of Korea,a professor of Kumoh National Institute of Technology,Ph.D.,engages in functional analysis and applied mathematics.
Supported by:
Supported by Research Fund of Kumoh National Institute of Technology(M1100)；

摘要/Abstract

摘要： The classical countable summation type Hahn-Schur theorem is a famous result in summation theory and measure theory. An interesting problem is whether the theorem can be generalized to non-countable summation case? In this paper, we show that the answer is true.

关键词: ron-countable set, summation, Abelian topological group, Hahn-Schur theorem

Abstract: The classical countable summation type Hahn-Schur theorem is a famous result in summation theory and measure theory. An interesting problem is whether the theorem can be generalized to non-countable summation case? In this paper, we show that the answer is true.

Key words: ron-countable set, summation, Abelian topological group, Hahn-Schur theorem

中图分类号:

O171

吕同富, 胡建华, 赵玫亨. 不可数求和型Hahn-Schur定理[J]. 数学季刊, 2005, 20(2): 137-140.

LÜ Tong-fu , HUJian-hua, CHOMin-hyung. The Non-countable Summation Type Hahn-Schur Theorems[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(2): 137-140.