| Banach空间中的广义级数 |
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| 引用本文： | 张永锋.Banach空间中的广义级数[J].陕西师范大学学报,1999(Z1). |
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| 作者姓名： | 张永锋 |
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| 作者单位： | 咸阳师范专科学校数学系 |
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| 摘 要： | 研究了Ｂａｎａｃｈ空间中广义级数的收敛性，给出了广义级数收敛的等价条件及一系列判别方法；同时还得到了收敛广义级数的若干性质，并讨论了广义级数与普通级数的关系
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| 关 键 词： | Banach空间 广义级数 收敛性 |
Generalized series in Banach space |
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| Zhang Yongfeng.Generalized series in Banach space[J].Journal of Shaanxi Normal University: Nat Sci Ed,1999(Z1). |
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| Authors: | Zhang Yongfeng |
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| Abstract: | The concept of generalized series in a Banach space is introduced,convergence of the series is discussed,and some conditions under which a generalized series is convergent and some properties on the series are given.We also study the relationship between generalized series and common series. |
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| Keywords: | Banach space generalized series convergence |
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