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Uniform Gateaux differentiability and weak uniform rotundity in Musielak–Orlicz function spaces of Bochner type equipped with the Luxemburg norm

✍ Scribed by Shaoqiang Shang; Yunan Cui; Henryk Hudzik


Book ID
118486328
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
259 KB
Volume
75
Category
Article
ISSN
0362-546X

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On the points of local uniform rotundity
✍ Mingxia Zuo; Yunan Cui; Henryk Hudzik; Kaijun Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 587 KB

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