| 赋范空间的点态非方常数 |
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| 引用本文： | 唐晓文,计东海,王淑欣.赋范空间的点态非方常数[J].应用泛函分析学报,2004,6(1):10-15. |
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| 作者姓名： | 唐晓文 计东海 王淑欣 |
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| 作者单位： | 1. 佳木斯大学理学院,黑龙江,佳木斯,154007
2. 哈尔滨理工大学数学系,黑龙江,哈尔滨,150080 |
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| 基金项目： | Supported by NFS of China(1 0 0 0 1 0 1 0 ) |
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| 摘 要： | 引入点态非方常数的定义并给出其等价表达形式，同时给出点态非方常数在赋Luxemburg范数Orlicz序列空间和Orlicz函数空间的估计以及在1^p和L^p空间的计算值。
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| 关 键 词： | 点态非方常数 Luxemburg范数 Orlicz序列空间 Orlicz函数空间 估计 |
Pointwise Nonsquare Constant in Normed Space |
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| Tang Xiao-wen,JI Dong-hai,WANG Shu-xin.Pointwise Nonsquare Constant in Normed Space[J].Acta Analysis Functionalis Applicata,2004,6(1):10-15. |
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| Authors: | Tang Xiao-wen JI Dong-hai WANG Shu-xin |
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| Institution: | TANG Xiao-wen~1,JI Dong-hai~2,WANG Shu-xin~2 1. College of Natural Sciences,Jiamusi University,Jiamusi Heilongjiang 154007,China 2. Department of Mathematics,Harbin University of Science and Technology,Harbin 150080,China |
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| Abstract: | Let X be a normed space, S(X) be the unite sphere of X, x0∈S(X). In this paper the definitions of pointwise nonsquqre constant CJ (X,x0) and Cs (X,x0) are introduced. In the same time, we get their equivalent representations in normed space and estimations in Orlicz sequence space and functional space endowed with Luxemburg norm. The exact values of nonsquare constants of point in lp and Lp space also are given. |
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| Keywords: | nonsquare nonsquare constant of point orlicz sequence space orlicz functoinal space |
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