| Banach-值函数的强Henstock积分与Henstock积分 |
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| 引用本文： | 叶国菊,安天庆.Banach-值函数的强Henstock积分与Henstock积分[J].兰州大学学报(自然科学版),2005,41(1):103-107. |
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| 作者姓名： | 叶国菊 安天庆 |
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| 作者单位： | 河海大学,理学院,江苏,南京,210098 |
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| 基金项目： | 河海大学校科研和教改项目 |
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| 摘 要： | 讨论了Banach-值函数强Henstock积分与Henstock积分的关系,证明了在高维空间中Banach值函数的强Henstock积分与Henstock积分是等价的当且仅当Banach空间X是有限维的.
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| 关 键 词： | 强Henstock积分 Henstock积分 Banach-值函数 |
| 文章编号： | 0455-2059(2005)01-0103-05 |
The strong Henstock integral and the Henstock integral for Banach-space-valued functions |
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| YE Guo-ju,AN Tian-qing.The strong Henstock integral and the Henstock integral for Banach-space-valued functions[J].Journal of Lanzhou University(Natural Science),2005,41(1):103-107. |
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| Authors: | YE Guo-ju AN Tian-qing |
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| Abstract: | This paper discusses the relation between the strong Henstock integral and the Henstock integral of Banach-valued functions in high-dimensional space and proves that the strong Henstock integral and the Henstock integral for Banach-space-valued functions are equivelent if and only if the Banach space X is finite dimensional. |
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| Keywords: | strong Henstock integral Henstock integral Banach-valued function |
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