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Extreme points and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm. (English) Zbl 1209.46008

Summary: Criteria for extreme points and rotundity of Musielak-Orlicz-Bochner function spaces equipped with the Orlicz norm are given. Although criteria for extreme points of Musielak-Orlicz function spaces equipped with the Orlicz norm have been known, we can easily deduce them from our main results.

MSC:

46B20 Geometry and structure of normed linear spaces
46E40 Spaces of vector- and operator-valued functions
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References:

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[3] Z. Jimin, S. Lihuan, and C. Yun’an, “The HR-point of the Musielak-Orlicz function space equipped with Orlicz norm,” Thai Journal of Mathematics, vol. 4, no. 1, pp. 209-222, 2006. · Zbl 1155.46302
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