文献类型：期刊文献

英文题名：CHARACTERIZATIONS OF CENTRALIZERS AND DERIVATIONS ON SOME ALGEBRAS

作者：He, Jun[1];Li, Jiankui[1];Qian, Wenhua[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]East China Normal Univ, Res Ctr Operator Algebras, Dept Math, 3663 North Zhongshan Rd, Shanghai 200062, Peoples R China

年份：2017

卷号：54

期号：2

起止页码：685

外文期刊名：JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000395664700021)】；

基金：This paper was partially supported by National Natural Science Foundation of China (Grant No. 11371136).

语种：英文

外文关键词：centralizer; derivation; full-centralizable point; full-derivable point; von Neumann algebra; triangular algebra

摘要：A linear mapping phi on an algebra A is called a centralizable mapping at G ? A if phi(AB) = phi(A)B = A phi(B) for each A and B in A with AB = G, and phi is called a derivable mapping at G is an element of A if phi(AB) = phi(A)B + A phi(B) for each A and B in A with AB = G. A point G in A is called a full-centralizable point (resp. full-derivable point) if every centralizable (resp. derivable) mapping at G is a centralizer (resp. derivation). We prove that every point in a von Neumann algebra or a triangular algebra is a full-centralizable point. We also prove that a point in a von Neumann algebra is a full-derivable point if and only if its central carrier is the unit.