Kadec-Klee property in Musielak-Orlicz function spaces equipped with the Orlicz norm

被引：0
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作者：
Yunan Cui
Li Zhao
机构：
[1] Harbin University of Science and Technology,Department of Mathematics
来源：
Aequationes mathematicae | 2022年 / 96卷
关键词：
Musielak-Orlicz function spaces; Orlicz norm; Kadec-Klee property; Weak star Kadec-Klee property; Nonexpansive mapping; Fixed point; Primary 39B82; Secondary 44B20; 46C05;
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摘要：
It is well-known that the Kadec-Klee property is an important property in the geometry of Banach spaces. It is closely connected with the approximation compactness and fixed point property of non-expansive mappings. In this paper, a criterion for Musielak-Orlicz function spaces equipped with the Orlicz norm to have the Kadec-Klee property are given. As a corollary, we obtain that a class of non-reflexive Musielak-Orlicz function spaces have the Fixed Point property.
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页码：167 / 184
页数：17
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