Banach序列空间的若干点态性质  

SOME POINTWISE PROPERTIES OF BANACH SPACE

作　　者：张健[1] 王萍[1] 崔云安[1] 

机构地区：[1]哈尔滨理工大学

出　　处：《哈尔滨师范大学自然科学学报》2008年第1期10-16,共7页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省自然科学基金(A0204);国家自然科学基金资助项目(10571037)

摘　　要：讨论了Banach序列空间的若干点态性质,证明了lp乘积空间X=(multiply from i=1 to ∞( ) X_i)_p,单位球面具有H点,CLUR点,WLUR点,WCLUR点,WM点和强U点的充分必要条件是Xi单位球面具有H点,CLUR点,WLUR点,WCLUR点,WM点和强U点,讨论了CLUR点与H点,WCLUR点,WM点之间的关系,以及WLUR点与WCLUR点,WM点,强U点之间的关系.In this paper, we discuss some pointwise properties condition of H point, CLUR point, WCLUR point, WLUR of Banach Space, we give the sufficient and necessary point, WM point, and power U point in Banach Space given by X = （П∞i=1Xi）p, and for any x in the unit sphere of Banach Space X, the sufficient and necessary condition that x will be CLUR point is x will be WCLUR point, WM point and H point and the sufficient and necessary condition that x will be WLUR point is x will be WCLUR point, WM point and power U point.

关 键 词：H点 CLUR点 WLUR点 WCLUR点 WM点和强U点 Banach序列空间 lp乘积空间 

分 类 号：O177.2[理学—数学] O174.41[理学—基础数学]