| 关于Banach空间中凸集理论的几点补充 |
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| 引用本文： | 谷照升.关于Banach空间中凸集理论的几点补充[J].松辽学刊,1997(3):61-64. |
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| 作者姓名： | 谷照升 |
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| 作者单位： | 长春水电高等专科学校!长春，130012 |
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| 摘 要： | 本文对Banach空间中有界凸集及其在算子映射下的映像集问题，给出了几个较为实用、能有效反映其几何特征的性质定理，并给予了严格的证明．
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| 关 键 词： | 超平面 支撑泛函 |
SOME SUPPLEMENTS ABOUT THE THEORIES OF CONVEX SETS IN BANACH SPACES |
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| Gu Zhaosheng.SOME SUPPLEMENTS ABOUT THE THEORIES OF CONVEX SETS IN BANACH SPACES[J].Songliao Journal (Natural Science Edition),1997(3):61-64. |
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| Authors: | Gu Zhaosheng |
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| Institution: | Changchun College of Water Conservancy and Electric power |
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| Abstract: | In this paper,we give some theorems of properties about the problems of bounded convex sets in Banach spaces and their mapping sets by operators which are available and can reflect effectively the geometric characteristics of these sets,and,we prove them rigorously. |
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| Keywords: | hyperplane supporting functional |
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