Local uniform rotundity and weak local uniform rotundity of Musielak–Orlicz sequence spaces endowed with the Orlicz norm

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• 作者：Liu Xin Bo ; Yun An Cui ; Paweł ; Foralewski ; Henryk Hudzik
• 关键词：Local uniform rotundity ; Weak local uniform rotundity ; Musielak– ; Orlicz sequence spaces ; Orlicz norm
• 刊名：Nonlinear Analysis
• 出版年：2008
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：1 September 2008-15 September
• 卷：69
• 期：5-6
• 页码：1559-1569
• 文件大小：252 K

摘要

Criteria for local uniform rotundity and weak local uniform rotundity of Musielak–Orlicz sequence spaces equipped with the Orlicz norm are given. Criteria in order that the subspace of order continuous elements equipped with the norm induced from the whole space is locally (weakly) uniformly rotund are also presented.