A Remark on the Unconditionally Convergent Series |
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| Authors: | Ronglu Li Xin Li Laizhen Luo |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150006, P.R. China
2. Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, P.R. China
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| Abstract: | For every unconditionally convergent series $\sum_{j=1}^{\infty}x_{j}$ in sequentially complete Abelian topological group, we show that the sum $\sum_{j=1}^{\infty}x_{\theta(j)}$ is same for all permutations θ:?→?. This result justify the measures defined on quantum structures. |
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