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Uniform Gateaux differentiability and weak uniform rotundity of Musielak–Orlicz function spaces

✍ Scribed by Liu Li Fang; Wang Ting Fu; Henryk Hudzik

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
258 KB
Volume
56
Category
Article
ISSN
0362-546X

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## Abstract Necessary and sufficient conditions are given for weak uniform rotundity of Orlicz sequence spaces equipped with the Luxemburg norm.

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In this paper, a criterion for locally uniformly rotund points and weakly locally uniformly rotund points in Musielak-Orlicz sequence spaces equipped with the Orlicz norm is given. As a corollary, we get the criterion in order that Musielak-Orlicz sequence spaces equipped with the Orlicz norm are lo