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

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.