Banach空间中的kWB性质(英文)  

On Property kWB in Banach Spaces

作　　者：王萍[1] 张少勇[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2001年第3期89-92,共4页Journal of Harbin University of Science and Technology

摘　　要：采用一个新的几何性质 ｋＷＢ，证明了具有该性质的 Ｂａｎａｃｈ空间 Ｘ具有弱Ｂａｎａｃｈ一Ｓａｋｓ性质，且具有该性质的Ｂａｎａｃｈ空间Ｘ的ｋＮＵＣ充分必要条件是自反且为ＵＫＫ，并给出了Ｍｕｓｉｅｌａｋ－Ｏｒｌｉｃｚ序列空间是ｋＮＵＣ的等价条件．In this paper, we introduce a new geometric property, namely kWB. We proved that a Banach space X with kWB has the weak Banach - Saks property. We aslo get that if a Banach spach X has property kWB then it is kNUC if and only if it is reflexive and it has UKK. The sufficient and necessity condition for that Musielak - Orlicz sequence spaces equipped with the Luxemburg norm which have kNUC are obtained.

关 键 词：kNUC性质 BANACH-SAKS性质 kWB性质 几何性质 

分 类 号：O177.3[理学—数学]