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| k-接近一致光滑Bananch空间 | |
| 引用本文： | 王翠玲,魏文展,周玲丽.k-接近一致光滑Bananch空间[J].广西科学,2006,13(4):267-270. |
| 作者姓名： | 王翠玲 魏文展 周玲丽 |
| 作者单位： | 1. 集美大学理学院,福建厦门,361021 2. 广西经贸职业技术学院,广西南宁,530021 3. 山东交通学院,山东济南,250023 |
| 基金项目： | 广西科学基金 , 广西教育厅科研项目 |
| 摘 要： | 定义k-接近一致光滑模,利用其给出k-接近一致光滑(k-NUS)空间的概念,证明k-接近一致光滑空间与k-接近一致凸空间是对偶概念,同时引入具有wk*性质的空间,给出k-接近一致光滑空间的一个特征刻画,并讨论(k 1)-接近一致光滑空间与接近一致光滑和k-一致光滑(kUS)空间的关系. |
| 关 键 词： | B anach空间 接近一致光滑空间 wk*性质 |
| 文章编号： | 1005-9164（2006）04-0267-04 |
| 收稿时间： | 2006-05-25 |
| 修稿时间： | 2006年5月25日 |
k-Nearly Uniformly Smooth Banach Spaces |
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| WANG Cui-ling,WEI Wen-zhan and ZHOU Ling-li.k-Nearly Uniformly Smooth Banach Spaces[J].Guangxi Sciences,2006,13(4):267-270. | |
| Authors: | WANG Cui-ling WEI Wen-zhan and ZHOU Ling-li |
| Institution: | School of Sciences, Jimei University, Xiamen, Fujian, 361021, China,Guangxi Economic Trade Polytechnic, Nanning, Guangxi, 530021, China and Shandong Jiaotong University, Ji''nan, Shandong, 250023, China |
| Abstract: | In this paper,the notion of k-nearly uniformly smooth Banach spaces is introduced,which is a generalization of nearly uniformly smooth Banach spaces,and it is proved that k-nearly uniformly smooth spaces and k-nearly uniformly convex spaces are the dual notions;every k-nearly uniformly smooth spaces is reflexive;one characterization of k-nearly uniformly smooth Banach spaces is given;finally,it is proved that k-uniformly smooth spaces imply(k 1)-nearly uniformly smooth spaces,but its converse is not necessarily true. |
| Keywords: | Banach spaces nearly uniformly smooth spaces w~*_k property |
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