关于非常圆的Banach空间

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基金项目: 国家自然科学基金资助项目(19871048)

On Very Rotund Banach Space

1.
Department of Basic Science, Huainan United University, Huainan, Anhui 232001, P R China;
2.
Department of Mathematics, Huaibei Coal Mining Teacher's College, Huaibei, Anhui 235000, P R China

摘要: 证明了非常圆空间的3个特征。讨论了非常圆空间和Banach空间几何性质之间的关系。建立了弱暴露点和Radon-Nikodym性质之间的联系。
- 非常圆空间 /
- 弱暴露点
Abstract: Three characteristics of the very rotund space are proved and the relationships between the very rotund space and the geometrical properties of Banach space are discussed. Also connection between the weakly exposed points and Radon Nikodym-property is established.
- very rotund space /
- weakly exposed point

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[2]	NAN Chao-xun.On weakly exposed points[J].Northeastern Math J,1990,6(4);449-454.
[3]	Istratescu V I.Strict Convexity and Complex Strict Convexity[M].New York and Basel:Marcel Dekker Inc,1984.
[4]	Panda B B, Kapoor O P.A generalization of local uniform convexity of the norm[J].J Math Anal Appl,1975,52(3);300-308.
[5]	Holmes R R.Geometric Functions Analysis and Its Applications[M].New York:Springer-Verlag,1975.

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