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_(±).
作者
占雄峰
阮宜飞
黄河南北
李启慧
ZHAN Xiong-feng;RUAN Yi-fei;HUANG He-nan-bei;LI Qi-hui(School of Mathematics,East China University of Science and Technology,Shanghai 200237,China)
基金
Supported by the Undergraduate Training Program on Innovation and Entrepreneurship(Grant No.X202110251333)
National Natural Science Foundation of China(Grant No.11671133).