| Banach空间的特征函数 |
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| 引用本文： | 程立新 陈连昌. Banach空间的特征函数[J]. 石油天然气学报, 1993, 15(3): 96-102 |
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| 作者姓名： | 程立新 陈连昌 |
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| 作者单位： | 江汉石油学院(程立新)，大庆石油学院(陈连昌) |
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| 摘 要： |
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| 关 键 词： | 巴拿赫空间 单调算子 特征函数 |
Characteristic Function of Banach Space |
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| Cheng Lixin. Characteristic Function of Banach Space[J]. Journal of Oil and Gas Technology, 1993, 15(3): 96-102 |
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| Authors: | Cheng Lixin |
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| Affiliation: | Cheng Lixin(Jianghan Petroleum Institute) Chen Lianchang (Daqing Petroleum Institute) |
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| Abstract: | A kind of characteristic function of Banach spaces having spacial properties is introduced by some monotone oprators Many geometric characterizations of Banach Spaces, such as various convexity and smoothness, can be represented by means of corresponding properties of these functions Moreover, a necessary and sufficient condition of which Banach Space Xis Hiebert space and some equivalent conditions with respect to X are given by the characteristic functions, and the characters of Hiebert space are depicted in the another aspect. |
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| Keywords: | Banach Space monotone operator characteristic functions differentiable modulus of convexity modulus of smoothness |
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