文献类型：期刊文献

英文题名：Characterizations of centralizable mappings on algebras of locally measurable operators

作者：An, Guangyu[1]; He, Jun[2]; Li, Jiankui[3]

机构：[1] Department of Mathematics, Shaanxi University of Science and Technology, Xi'an, 710021, China; [2] Department of Mathematics, Anhui Polytechnic University, Wuhu, 241000, China; [3] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2018

外文期刊名：arXiv

收录：EI(收录号：20200099476)

语种：英文

外文关键词：Mapping

摘要：A linear mapping φ from an algebra A into its bimoduleMis called a centralizable mapping at G ∈A if φ(AB) = φ(A)B = Aφ(B) for each A and B in A with AB = G. In this paper, we prove that if M is a von Neumann algebra without direct summands of type I1 and type II, A is a?-subalgebra with M ? A ? LS(M) and G is a fixed element in A, then every continuous (with respect to the local measure topology t(M)) centralizable mapping at G from A into M is a centralizer. Copyright ? 2018, The Authors. All rights reserved.