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DIFFERENTIABILITY OF CONVEX FUNCTIONS AND ASPLUND SPACES
作者姓名:程立新  张风
作者单位:Math. Section,Dept. of Public Courses,Jianghan r Petro. Inst.Shashi 434102,China.
摘    要:DIFFERENTIABILITYOFCONVEXFUNCTIONSANDASPLUNDSPACESChengLizin(程立新)ZhangFeng(张风)(Math.Section,Dept.ofPublicCourses,JianghanrPet...


DIFFERENTIABILITY OF CONVEX FUNCTIONS AND ASPLUND SPACES
Cheng Lizin, Zhang Feng.DIFFERENTIABILITY OF CONVEX FUNCTIONS AND ASPLUND SPACES[J].Acta Mathematica Scientia,1995(2).
Authors:Cheng Lizin  Zhang Feng
Abstract:Characterizations of differentiability are obtained for continuous convex functions defined on nonempty open convex sets of Banach spaces as a generalization and application of a mumber of mathematicians several years effort, and a characteristic theorem is given for Banach spaces which are(weak) Asplund spaces
Keywords:convex function  differentiability  Banach space  Asplund space  
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