相关于增长函数的非交换Orlicz空间的一致凸性  

Uniform Convexity of Noncommutative Orlicz Spaces Associated with Growth Functions

作　　者：杨永强 闫成[1] YANG Yongqiang;YAN Cheng(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830017

出　　处：《新疆大学学报（自然科学版）（中英文）》2023年第4期405-413,共9页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：National Natural Science Foundation of the People’s Republic of China“Research on derivatives and operators in noncommutative symmetric spaces”(12261084).

摘　　要：相关于增长函数的非交换Orlicz空间是拟Banach空间,研究了这类拟Banach空间的一致凸性.首先,得到了这类空间上的模和Luxemburg拟范数的控制关系.其次,给出了这类空间的一致凸性,并且估计了凸性的模.最后,给出了满足假设的具体空间的例子.The noncommutative Orlicz spaces associated with the growth functions are quasi-Banach spaces.We study the uniform convexity of such quasi-Banach spaces.First of all,we obtain some relationships between the modulars and the Luxemburg quasi-norms on such spaces.Secondly,we give the uniform convexity of such spaces and estimate the moduli of convexity.Finally,some examples of specific spaces satisfying assumptions are given.

关 键 词：一致凸性 非交换Orlicz空间 增长函数 拟BANACH空间 

分 类 号：O177.2[理学—数学]