赋s范数的Orlicz序列空间的β性质  

β Property in Orlicz Sequence Spaces Equipped with s-norm

作　　者：崔云安 董佳琪 CUI Yun-an;DONG Jia-qi(School of Science, Harbin University of Science and Technology, Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2022年第3期134-139,共6页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11871181).

摘　　要：赋s范数的Orlicz空间是Orlicz空间的推广,为研究赋s范数Orlicz空间的H性质和β性质,首先对s范数的一些基本性质进行讨论。然后,在此基础上,给出了赋s范数的Orlicz序列空间具有H性质判据是Φ∈δ_(2),并得到了赋s范数的Orlicz序列空间具有β性质的充要条件为空间自反即Φ∈δ_(2)∩δ_(2)。Orlicz spaces equipped with s-norm is an extension of Orlicz spaces.In order to studing the H property and the propertyβin Orlicz space equipped with s-norm,some basic properties of the s-norm are discussed firstly.Then,based on this,Φ∈δ_(2) which is the criteria of H property of Orlicz sequence spaces equipped with s-norm were given.In this paper,we get that the Orlicz sequence space equipped with s-norm have property β if and only if the spaces is reflexive,that isΦ∈δ_(2)∩δ_(2).

关 键 词：ORLICZ序列空间 s范数 H性质 β性质 

分 类 号：O177.3[理学—数学]