与不动点有关的三个新的几何性质

Three new geometric properties about fixed point property

在Banach空间的对偶空间中引入了三个新的几何性质:W*UKK'性质,W*UKK(α)性质和W*UKK(α')性质,并证明了若Banach空间X的对偶空间X*分别具有这三种性质,都蕴含Banach空间X具有不动点性质.

This paper put forward three new properties in dual space of Banach space X： W＊UKK′ property,property,W＊UKK（α） W＊UKK（α′） property and proved the Banach space X has fixed point property if X＊ has these three properties separately.