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| Banach空间的复凸性与复光滑性 | |
| 引用本文： | 郑少薇.Banach空间的复凸性与复光滑性[J].华南师范大学学报(自然科学版),1989,0(1):1. |
| 作者姓名： | 郑少薇 |
| 作者单位： | 华南师范大学数学系 |
| 摘 要： | 本文的主要结果是给出了复准弱局部一致凸空间、复局部一致凸空间的定义和复一致光滑空间的一个充分必要条件,并研究了Banach空间的复凸性、复光滑性、凸性、光滑性之间的关系. |
| 关 键 词： | 复严格凸空间 复准弱局部一致凸空间 复局部一致凸空间 复一致凸空间 复光滑空间 复一致光滑空间 |
COMPLEX CONVEXITY AND COMPLEX SMOOTHNESS OF BANACH SPACES |
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| Zheng Shaowei.COMPLEX CONVEXITY AND COMPLEX SMOOTHNESS OF BANACH SPACES[J].Journal of South China Normal University(Natural Science Edition),1989,0(1):1. | |
| Authors: | Zheng Shaowei |
| Abstract: | This paper mainly gives the definitions of complex quasi-weak local uniformly convex space, complex local uniformly convex space, and a necessary and sufficient condition of complex uniformly smooth space; it studies the various relations between the complex convexity, complex smoothness, convexity and smoothness of Banach space. |
| Keywords: | complex strictly convex space complex quasi-weak local uniformly convex spaces complex local uniformly convex spaces complex uniformly convex space complex smooth spaces complex uniformly smooth space |
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