关于强光滑性与弱可凹点的注记  

Some Remarks on Strong Smoothness and Weak Denting Points of Banach Spaces

作　　者：义德日胡[1] 乌日娜[1] 苏雅拉图[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2012年第6期579-581,共3页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11061022);内蒙古自然科学基金资助项目(2012MS1022)

摘　　要：讨论了强光滑的Banach空间和LωS空间,证明了LωS空间是强光滑空间,得到了关于它们的一些结论和充要条件.同时也讨论了Banach空间中的弱暴露点和弱可凹点,给出强光滑空间、弱暴露点和弱可凹点的特征刻画,并得到强光滑空间的某些性质.In this paper,the strong smoothness and LwS of Banach spaces are studied,and proved that the LwS spaces is strong smooth spaces and obtained some results and necessary and sufficient conditions related with them. At the same time,the weak exposed points and weak denting points of t3anach spaces are studied, and give the characteristic descriptions of strong smoothness, weak exposed points and weak den- ting points of Banach spaces. Also,we obtained the some properties of strongly smooth Banach spaces.

关 键 词：BANACH空间 强光滑空间 弱暴露点 弱可凹点 

分 类 号：O177.2[理学—数学]