An improved version of vitali-hahn-saks theorem

  • Hwang, Hong-Taek (Department of Mathematics, Kum-Oh National University of Technology, Kumi 730-701) ;
  • Yoo, Won-Sok (Department of Mathematics, Kum-Oh National University of Technology, Kumi 730-701)
  • Published : 1996.08.01

Abstract

Let G be an abelian topological group and $x_{ij} \in G$ for all $i, j \in N$ such that the series $\sum_{j=i}^{\infty} x_{ij}$ is subseries convergent for each i.

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