ZHANG Zi-hou, ZHANG Cong-jun. On Very Rotund Banach Space[J]. Applied Mathematics and Mechanics, 2000, 21(8): 870-874.
Citation:
ZHANG Zi-hou, ZHANG Cong-jun. On Very Rotund Banach Space[J]. Applied Mathematics and Mechanics, 2000, 21(8): 870-874.
ZHANG Zi-hou, ZHANG Cong-jun. On Very Rotund Banach Space[J]. Applied Mathematics and Mechanics, 2000, 21(8): 870-874.
Citation:
ZHANG Zi-hou, ZHANG Cong-jun. On Very Rotund Banach Space[J]. Applied Mathematics and Mechanics, 2000, 21(8): 870-874.
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
Received Date: 1998-12-25
Rev Recd Date:
2000-03-20
Publish Date:
2000-08-15
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.
References
[1]
Sullivan F.Geometrical properties determined by the higher duals of a Banach space[J].Illinois J Math,1977,21(2);315-331.
[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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