Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (2): 137-140.

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The Non-countable Summation Type Hahn-Schur Theorems

  

  1. 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);

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

CLC Number: