非交换Orlicz-Lorentz空间的对偶空间(英文)  

The Dual of Noncommutative Orlicz-Lorentz Space

作　　者：韩亚洲[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2013年第2期148-153,共6页Journal of Xinjiang University(Natural Science Edition)

基　　金：Supported by the National Natural Science Foundation of China(11071204)

摘　　要：在这篇文章中我们证明了当是满足2条件的N-函数且ω是正则的权函数时,非交换Orlicz-Lorentz空间Λ,ω(M)的对偶空间是M,ω(M),这里M是不含最小投影算子的半有限von Neumann代数.It is shown that the dual space of noncommutative Orlicz-Lorentz space ∧φ,ω（M） is Mφ,ω（M）, where M is a semifinite von Neumann algebra and has no minimal projection, φ is an N-function satisfying the △2-condition and ω is a regular weight function. These results are noncommutative analogues of well known characterisations in the setting of classical Orlicz-Lorentz space.

关 键 词：von NEUMANN代数 非交换Orlicz-Lorentz空间 对偶空间 

分 类 号：O177.7[理学—数学]