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On the points of local uniform rotundity and weak local uniform rotundity in Musielak–Orlicz sequence spaces equipped with the Orlicz norm

✍ Scribed by Mingxia Zuo; Yunan Cui; Henryk Hudzik; Kaijun Zhang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 587 KB
Volume: 71
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.03.047

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✦ Synopsis

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 locally uniformly rotund and weakly locally uniformly rotund.

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