Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900281 | Journal of Mathematical Analysis and Applications | 2018 | 13 Pages |
Abstract
This paper studies the Kadec-Klee property for convergence in measure of noncommutative Orlicz spaces LÏ(MË,Ï), where MË is the space of Ï-measurable operators, and Ï is an Orlicz function. We show that LÏ(MË,Ï) has the Kadec-Klee property in measure if and only if the Ï satisfies the Î2(â) condition. As a corollary, the dual space and reflexivity of LÏ(MË,Ï) are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ma Zhenhua, Jiang Lining, Ji Kai,