共轭Hahn-Banach定理  

DUAL HAHN-BANACH THEOREM

作　　者：阮国桢[1] 

机构地区：[1]湘潭大学数学系

出　　处：《湘潭大学自然科学学报》1992年第2期52-57,共6页Natural Science Journal of Xiangtan University

摘　　要：引入共轭集值映射的概念,讨论了它的性质.证明了共轭集值映射是由线性算子的凸集生成的,把Hahn-Banach定理推广到双次线性泛函的情形.作为应用讨论了Ioffe的广义微分概念。Dual set-valued mappings as pair of Ioffe's fans is studied.Itis proved that these are generated by convex set of linear operators. Hahn-Banach theorem is generalized to concerning bisublinear functions.As anexample on application,Ioffe's generalized differential of set-valuedmappings is discussed.

关 键 词：H-B定理 算子 双线性泛函 

分 类 号：O177.91[理学—数学]