Musielak-Orlicz序列空间的一致Gateaux可微性

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基金项目: 国家自然科学基金资助项目(10001010);黑龙江省教委基金资助项目

UGD Property of Musielak-Orlicz Sequence Spaces

Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China

摘要: 利用Musielak-Orlicz函数列的某些性质,给出了赋Luxemburg范数的Musielak-Orlicz序列空间是有一致Gateaux可微性的充要条件及赋Orlicz范数的Musielak-Orlicz序列空间是弱一致凸的判别准则.
- Musielak-Orlicz序列空间 /
- 一致Gateaux可微 /
- 弱一致凸
Abstract: By the properties of the Musielak-Orlicz funcitons. sequence, the necessary and sufficient condition for uniform Gateaux differential(UGD) property of Musielak-Orlicz sequence spacesequipped with the Luxemburg norm and a criterion for weakly uniform rotundity of Musielak-Orlicz sequence space with Orlicz nor mare given.
- Musielak-Orlicz sequence space /
- uniform Gateaux differe ntiability /
- weakly uniform rotundity

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