Generalized Wave Operators in Von Neumann Algebras  

冯诺依曼代数中的广义波算子

作　　者：ZHAN Xiong-feng RUAN Yi-fei HUANG He-nan-bei LI Qi-hui 占雄峰;阮宜飞;黄河南北;李启慧(School of Mathematics,East China University of Science and Technology,Shanghai 200237,China)

机构地区：[1]School of Mathematics,East China University of Science and Technology,Shanghai 200237,China

出　　处：《Chinese Quarterly Journal of Mathematics》2022年第1期52-60,共9页数学季刊（英文版）

基　　金：Supported by the Undergraduate Training Program on Innovation and Entrepreneurship(Grant No.X202110251333);National Natural Science Foundation of China(Grant No.11671133).

摘　　要：Let M⊆B(H)be a countable decomposable properly infinite von Neumann algebra with a faithful normal semifinite tracial weightτwhere B(H)is the set of all bounded linear operators on Hilbert space H.The main purpose of this article is to introduce generalized weak wave operators Wf_(±),generalized weak abelian wave operators ■ and generalized stationary wave operators U_(±) in M and then to explore the relation among W_(±),■,U_(±) and generalized wave operators W_(±).

关 键 词：Generalized wave operators Von Neumann algebras Generalized weak wave operators Generalized stationary wave operators 

分 类 号：O187.1[理学—数学]