UR Points and WUR Points in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm

DUAN Lifen; ZUO Mingxia; WANG Hongzhi

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UR Points and WUR Points in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm

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- UR Points and WUR Points in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 53, Issue 2, Pages: 55-58(2014)
- 作者机构：
  
  1. 通化师范学院数学学院,吉林,通化,134002
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2014，
  
  Published Online：25 March 2014，
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DUAN Lifen, ZUO Mingxia, WANG Hongzhi. UR Points and WUR Points in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(2):55-58(2014)
DOI：

DUAN Lifen, ZUO Mingxia, WANG Hongzhi. UR Points and WUR Points in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(2):55-58(2014) DOI：

摘要

研究由 N- 函数生成赋广义Orlicz范数Orlicz函数空间的点态性质，利用Banach空间几何理论和技巧，得到了该空间中UR点和WUR点的判别准则，并且获得Orlicz函数空间局部一致凸和弱局部一致凸的条件。

Abstract

Some pointwise properties of Orlicz function spaces which are generated by a N－function and equipped with the generalized Orlicz norm are studied. By using geometrical theories and techniques of Banach spaces

criteria of UR points and WUR points in these spaces are presented. Sufficient and necessary conditions are obtained to make the Orlicz function spaces be locally uniform rotund and weakly locally uniform rotund .

关键词

UR点WUR点广义Orlicz范数Orlicz函数空间

Keywords

UR pointWUR pointgeneralized Orlicz normOrlicz function space

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