文献类型：期刊文献

英文题名：CHARACTERIZATIONS OF JORDAN DERIVABLE MAPPINGS AT THE UNIT ELEMENT

作者：Li, Jiankui[1];Li, Shan[1];Luo, Kaijia[1]

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

年份：2022

卷号：59

期号：2

起止页码：277

外文期刊名：BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000804366300002)】；

基金：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; Triple derivation

摘要：Let A be a unital Banach algebra, M a unital A-bimodule, and delta a linear mapping from A into M. We prove that if delta satisfies delta(A)A(-1)A(-1) delta(A)+A delta (A(-1))+delta (A(-1))A = 0 for every invertible element A in A, then delta is a Jordan derivation. Moreover, we show that delta is a Jordan derivable mapping at the unit element if and only if delta is a Jordan derivation. As an application, we answer the question posed in [4, Problem 2.6].