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《JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE)》 1999-01
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Some New Geometric Properties of Banach Spaces

Suyalatu 1, JIN Xiao ming 2 (1.Department of Mathematics, Inner Mongolia Normal University, 010022, Huhhot, Inner Mongolia, China;2.Physical Education School of Yimeng, 017000, Dongsheng, Inner Mongolia, China)  
In , Wang Jianhua introduced three geometric properties (C-Ⅰ) (C-Ⅱ) (C-Ⅲ) for Banach spaces and showed its important application in metric projection. In this paper, we introduce five geometric properties (C-Ⅰ)′,(S-Ⅰ),(S-Ⅱ),(S-Ⅲ),(S-Ⅰ)′ for Banach spaces and prove that property (C-Ⅰ)(resp. (C-Ⅰ)′,(C-Ⅱ),(C-Ⅲ)) and property (S-Ⅰ)(resp. (S-Ⅰ)′,(S-Ⅱ),(S-Ⅲ)) are daul properties. In additon, we obtained some usefull and important results about geometric properties (S-Ⅰ),(S-Ⅰ)′,(S-Ⅱ),(S-Ⅲ).
【CateGory Index】: O177.2
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【References】
Chinese Journal Full-text Database 1 Hits
1 SHEN Jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Linear Representive of Metric Projection on Chebyshev Subspace[J];Journal of Anhui Normal University(Natural Science);2008-06
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 SHEN Jun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);On the Locally Asymptotic-norming Property[J];Journal of Anhui Normal University(Natural Science);2006-05
2 Wang Yuwen Yu Jinfeng (Department Of Mathematics, Harbin Normal University, Harbin 150080);The Character and Representive of a Class of Metric Projection in Banach Space[J];Acta Mathematiea Scientia;2001-01
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