谱意义下的非交换Hardy空间(英文)  

The Non-commutative Hardy Space in Spectrum’s Sense

作　　者：姚婷婷[1] 吐尔德别克[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1期41-46,共6页Journal of Xinjiang University(Natural Science Edition)

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

摘　　要：{αt}t∈G是群G作用在VNA M上的*自同构的σ-弱连续的表示,满足ταt=τ,t∈G.对1≤p<∞,{αt}t∈G可以延拓到非交换Lp空间上.基于谱子空间理论,讨论了非交换Hardy空间Hp(α).Let {αt}t∈G be a σ-weakly continuous representations of group G as ?-automorphisms of von Neumann algebra M such thatτ?αt=τ,t∈G. For 1≤p<∞, we extend{αt}t∈G to Lp(M) which be a non-commutative Lp-space and investigate the noncommutative Hardy space Hp(α) based on the theory of spectral subspace.

关 键 词：谱 谱子空间 非交换Lp空间 非交换Hardy空间 

分 类 号：O177.7[理学—数学]