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Banach空间的凸性模与正规结构
引用本文:崔云安,张帆,张晓月. Banach空间的凸性模与正规结构[J]. 哈尔滨理工大学学报, 2009, 14(2): 26-29
作者姓名:崔云安  张帆  张晓月
作者单位:哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080;哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080;哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080
基金项目:supported by overseas fundation of Heilongjiang provience(10571037)
摘    要:令X是Banach空间,根据凸性U-模与凸性W^*-模和弱正交系数之间的关系来证明Banach空间X具有正规结构.由此加强了一些已知的结论.

关 键 词:凸性U-模  凸性W*-模  弱正交系数  一致正规结构  不动点

Modulus of Convexity and Normal Structure in Banach Space
CUI Yun-an,ZHANG Fan,ZHANG Xiao-yue. Modulus of Convexity and Normal Structure in Banach Space[J]. Journal of Harbin University of Science and Technology, 2009, 14(2): 26-29
Authors:CUI Yun-an  ZHANG Fan  ZHANG Xiao-yue
Affiliation:School of Science and Technology;Harbin University of Science and Technology;Harbin 150080;China
Abstract:Let X be a Banach space.We present some sufficient conditions for which a Banach space X has normal structure by using the modulus of U-convexity,modulus of W*-convexity and the coefficient of weak orthogonality.
Keywords:modulus of U-convexity  uniform normal structure  fixed point
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