| 直和空间的凸映射 |
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| 引用本文： | 洪毅. 直和空间的凸映射[J]. 华南理工大学学报(自然科学版), 1995, 23(9): 16-21 |
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| 作者姓名： | 洪毅 |
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| 作者单位： | 华南理工大学应用数学系 |
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| 摘 要： | 本文研究两个Ｂａｎａｃｈ空间Ｘ、Ｙ的直和空间上凸射的性质，其中Ｘ、Ｙ为可积函数空间或本有界函数空间。当此空间的范数满足一定条件时，直和空间的单位球上的凸映射必定是仿射映射。
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| 关 键 词： | 全纯映射 巴拿赫空间 仿射变换 直和空间 凸映射 |
CONVEX MAPS IN DIRECTED SUM SPACES |
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| Hong Yi. CONVEX MAPS IN DIRECTED SUM SPACES[J]. Journal of South China University of Technology(Natural Science Edition), 1995, 23(9): 16-21 |
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| Authors: | Hong Yi |
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| Abstract: | in this paper, we investigate the property of convex maps defined on the directed sum of two Banach spaces X and Y, where X, Y are spaces of integrable functions or essential bounded functions. If the norm of the directed sum space satisfiessome conditions, then the convex maps defined on the unit ball of the directed sumspace must be affine maps. |
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| Keywords: | s:holomorphic mappings Banach space affine transformations |
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