Generalized Wave Operators in von Neumann Algebras

2021/09/06 by Xiongfeng Zhan, Yifei Ruan, Zhan, Xiongfeng +5
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2109.02317

openalex publication_date 2021/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M\subseteqB( H) be a countable decomposable properly infinite von Neumann algebra with a faithful normal semifinite tracial weight τ where 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 \widetildeW_±, generalized weak abelian wave operators \widetilde\mathfrakU_± and generalized stationary wave operators U_± in M and then to explore the relation among \widetildeW_±, \widetilde\mathfrakU% _±, U_± and generalized wave operators W_±.

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