| A NEW INTEGRATION WITH RESPECT TO A VECTOR MEASURE AND ITS PROPERTIES |
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| 作者姓名： | 丘京辉 |
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| 作者单位： | Mathematics Department |
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| 摘 要： | We introduce a new integration with respect to a vector measure, which may be considered the generalization of a line integration with respect to coordinates in classical calculus. we disscuss its properties and investigate the relationship between an integration with respect to a vector measure and one with respect to the variation of the vector measure, which is similar to the relationship between a line integration with respect to coordinates and one with respect to arc length.
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| 关 键 词： | Banach空间 向量测度 行积分法 双线性映射 |
A NEW INTEGRATION WITH RESPECT TO A VECTOR MEASURE AND ITS PROPERTIES |
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| Oiu Jinghui Mathematics.A NEW INTEGRATION WITH RESPECT TO A VECTOR MEASURE AND ITS PROPERTIES[J].Journal of Suzhou University(Natural Science),1990,6(2):136-140. |
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| Authors: | Oiu Jinghui Mathematics |
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| Institution: | Oiu Jinghui Mathematics Department |
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| Abstract: | We introduce a new integration with respect to a vector measure, which may be considered the generalization of a line integration with respect to coordinates in classical calculus, we disscuss its properties and investigate the relationship between an integration with respect to a vector measure and one with respect to the variation of the vector measure, which is similar to the relationship between a line integration.with respect to coordinates and one with respect to arc length. |
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| Keywords: | Banach space integration vector measure |
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