Non-commutative Orlicz spaces associated to a modular on τ-measurable operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Sadeghi, Ghadir

关键词: tau-measurable operator;    Generalized singular value function;    von Neumann algebra;    Non-commutative Orlicz space;    Modular space;   

DOI  :  10.1016/j.jmaa.2012.05.054

来源: Elsevier

【 摘 要 】

In this paper, we consider non-commutative Orlicz spaces as modular spaces and show that they are complete with respect to their modular. We prove some convergence theorems for tau-measurable operators and deal with uniform convexity of non-commutative Orlicz spaces. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free