作者:崔云安，董佳琪

Authors:CUI Yun-an,DONG Jia-qi
摘要: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∈δ₂，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∈δ₂∩δ'₂。

Abstract:Abstract:Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly. Then, based on this, Φ∈δ₂which 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 is Φ∈δ₂∩δ'₂.

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