Banach空间中无穷级数收敛性问题

Journal of Luoyang Normal University(2006)

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Abstract
文中讨论了无穷维赋范线性空间中,级数的收敛、绝对收敛、条件收敛、无条件收敛、弱无条件收敛等概念之间的关系,且通过反例说明弱无条件收敛的级数未必收敛、无条件收敛的级数未必绝对收敛等重要结论.
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Key words
weakly unconditional convergence,infinite series,convergence,absolute convergence,unconditional convergence
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