Article ID Journal Published Year Pages File Type
8900281 Journal of Mathematical Analysis and Applications 2018 13 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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