Cesàro-Orlicz序列空间中的某些重要几何性质(英文)  

Some Important Geometric Properties in Cesàro-Orlicz Sequence Spaces

作　　者：麻振华[1] 崔云安[2] 

机构地区：[1]河北建筑工程学院数理系,张家口河北075000 [2]哈尔滨理工大学应用科学学院,哈尔滨黑龙江150080

出　　处：《数学进展》2013年第3期348-354,共7页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.10571037)

摘　　要：端点是Banach空间中的一个重要的概念,它是研究各种凸性的基础.本文给出了Cesàro-Orlicz序列空间中端点的等价条件,以此条件又证明了任何Cesàro-Orlicz序列空间都具有λ-性质,并给出了一致λ-性质的判定.It is known that the extreme point is very important in Banach space. From the extreme point we can research many kinds of convexities. In this paper, necessary and sufficient conditions of extreme point under the Cesàro-Orlicz sequence space cesφ are presented. It is proved that the Cesàro-Orlicz sequence space cesφ equipped with the Luxemburg norm has the λ-oroperty. Finally, the criteria for the uniform λ-Drooertv of the space cesφ is given.

关 键 词：Cesàro—Orlicz sequence space Luxemburg NORM EXTREME point λ—property uniform λ—property 

分 类 号：O177.2[理学—数学]