Banach空间的不动点性质  

Fixed Point Property in Banach Spaces

作　　者：吴春雪[1] 

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《烟台大学学报（自然科学与工程版）》2007年第3期166-168,共3页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：烟台大学青年基金资助项目(SX05Z9)

摘　　要：Banach空间中的许多几何性质在不动点理论中起着很重要的作用,其中包括一致凸性,Banach-Saks性质和正规结构等等.文中引入了一个新的几何性质(Aε2)*,通过建立Banach空间X中(Aε2)*性质和Banach-Saks性质及UKK性质、一致Frechet可微的关系,得到的结论是:如果Banach空间X是可分的且其对偶空间X*具有(Aε2)*性质,则X及X*具有弱不动点性质.In Banach spaces,there are many geometric properties that play important roles in fixed point theory.Uniform convexity,Banach-Saks property and normal structure are examples of such properties.In this paper,a new geometric property (Aε2)* is introduced,and the relation among property(Aε2)*,Banach-Saks property,Ukk property and uniform Frechet differentiable in Banach space X is build up.The results show that if a Banach space X is separable and X* has the property(Aε2)*,then both X and X* have the weak fixe...

关 键 词：不动点 (Aε2)*性质 弱Banach-Saks性质 

分 类 号：O177.2[理学—数学]