文献类型：期刊文献

英文题名：Linear Mappings Characterized by Action on Zero Products or Unit Products

作者：Li, Jiankui[1];Li, Shan[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2022

卷号：48

期号：1

起止页码：31

外文期刊名：BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000642017600001)】；

基金：The authors would like to thank the referee for his or her suggestions. This research was partly supported by the National Natural Science Foundation of China (Grant No. 11871021).

语种：英文

外文关键词：Derivation; Jordan derivation; Zero product; Unit product

摘要：Let A be a unital algebra and M be a unital A-bimodule. We characterize the linear mappings delta and tau from A into M, satisfying delta(A) B+ A tau(B) = 0 for every A, B is an element of. A with AB = 0 when A contains a separating ideal T of M, which is in the algebra generated by all idempotents in A. We apply the result to P-subspace lattice algebras, completely distributive commutative subspace lattice algebras, and unital standard operator algebras. Furthermore, suppose that A is a unital Banach algebra and M is a unital Banach A-bimodule, we give a complete description of linear mappings delta and tau from A into M, satisfying delta(A) B + A tau(B) = 0 for every A, B is an element of A with AB = I.