Kadec–Klee property for convergence in measure of noncommutative Orlicz spaces

Zhenhua Ma, Lining Jiang*, Kai Ji

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

摘要

This paper studies the Kadec–Klee property for convergence in measure of noncommutative Orlicz spaces Lφ(M˜,τ), where M˜ is the space of τ-measurable operators, and φ is an Orlicz function. We show that Lφ(M˜,τ) has the Kadec–Klee property in measure if and only if the φ satisfies the Δ2(∞) condition. As a corollary, the dual space and reflexivity of Lφ(M˜,τ) are given.

源语言英语
页(从-至)1193-1202
页数10
期刊Journal of Mathematical Analysis and Applications
458
2
DOI
出版状态已出版 - 15 2月 2018

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