Kadec-Klee property with respect to the local convergence in measure of Orlicz-Lorentz spaces

被引：0
|
作者：
Foralewski, Pawel [1 ,2 ]
Konczak, Joanna [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
来源：
MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 05期
关键词：
Kadec-Klee property; Luxemburg norm; Orlicz-Lorentz spaces; Orlicz norm; subspace of order continuous elements; UNIFORM ROTUNDITY;
D O I：
10.1002/mana.202300151
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we find criteria for the Kadec-Klee property with respect to the local convergence in measure in both Orlicz-Lorentz spaces as well as their subspaces of order continuous elements. In the case of Orlicz norm, the presented results are new, whereas in the case of Luxemburg norm, we rely heavily on known results, which we show for the first time as a whole. Finally, we apply the obtained results to Orlicz spaces.
引用
收藏
页码：1793 / 1817
页数：25
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