Some monotonicity properties in F-normed Musielak-Orlicz spaces

被引：4
|
作者：
Kaczmarek, Radoslaw [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
来源：
AEQUATIONES MATHEMATICAE | 2020年 / 94卷 / 05期
关键词：
Musielak-Orlicz spaces; Mazur-Orlicz F-norm; F-normed Kothe spaces; Strict monotonicity; Orthogonal strict monotonicity; Lower local uniform monotonicity; Orthogonal lower local uniform monotonicity; Upper local uniform monotonicity; Orthogonal upper local uniform monotonicity;
D O I：
10.1007/s00010-019-00691-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Strict monotonicity, lower local uniform monotonicity, upper local uniform monotonicity and their orthogonal counterparts are considered in the case of Musielak-Orlicz function spaces L phi(mu)endowed with the Mazur-Orlicz F-norm as well as in the case of their subspaces E phi(mu) with the F-norm induced from L phi(mu). The presented results generalize some of the results from Cui et al. (Aequ Math 93:311-343, 2019) and Hudzik et al. (J Nonlinear Convex Anal 17(10):1985-2011, 2016), obtained only for Orlicz spaces as well as their subspaces of order continuous elements equipped with the Mazur-Orlicz F-norm.
引用
收藏
页码：865 / 885
页数：21
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