Orlicz-Bochner序列空间中的非ln^(1)点与一致非ln^(1)点  

Non-ln^(1)Point and Uniformly Non-ln^(1)Point in Orlicz-Bochner Sequence Spaces

作　　者：王康吉 巩万中[1] WANG Kangji;GONG Wanzhong(Department of Mathematics,Anhui Normal University,Wuhu 241000,China)

机构地区：[1]安徽师范大学数学系,安徽芜湖241000

出　　处：《应用数学》2020年第3期652-665,共14页Mathematica Applicata

基　　金：Supported by the National Science Research Project of Anhui Educational Department(KJ2019A0487);National Natural Science Foundation of China(11771273)。

摘　　要：本文给出Banach空间中非ln^(1)点和一致非ln^(1)点的部分特征,在此基础上得到了Orlicz-Bochner序列空间中非ln^(1)点和一致非ln^(1)点的判据.Some characterizations of non-ln^(1)point and uniformly non-ln^(1)point in Banach space were given.Moreover,in this paper some criteria were obtained for non-ln^(1)point and uniformly non-ln^(1)point in Orlicz-Bochner sequence spaces.

关 键 词：非ln^(1)点 一致非ln^(1)点 Orlicz-Bochner序列空间 ORLICZ范数 LUXEMBURG范数 

分 类 号：O177.2[理学—数学]