文献类型：期刊文献

英文题名：Characterizing linear mappings through zero products or zero Jordan products

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

机构：[1]Shaanxi Univ Sci & Technol, Dept Math, Xian 710021, Peoples R China;[2]Anhui Polytech Univ, Dept Math, Wuhu 241000, Peoples R China;[3]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2022

卷号：84

期号：2

起止页码：270

外文期刊名：PERIODICA MATHEMATICA HUNGARICA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000745441100001)】；

基金：The authors thank the referee for his or her suggestions. This research was partly supported by the National Natural Science Foundation of China (Grant Nos. 11801342, 11801005, 11871021); Natural Science Foundation of Shaanxi Province (Grant No. 2020JQ-693); Scientific research plan projects of Shannxi Education Department (Grant No. 9JK0130).

语种：英文

外文关键词：*-(Jordan) derivation; *-(Jordan) left derivation; Zero (Jordan) product determined algebra; C*-algebra; von Neumann algebra

摘要：LetAbe a *-algebra andMbe a *-A-bimodule. We study the local properties of *-derivations and *-Jordan derivations from A into M under the following orthogonality conditions on elements inA: ab* = 0, ab*+ b* a = 0 andab* = b*a = 0. We characterize the mappings on zero product determined algebras and zero Jordan product determined algebras. Moreover, we give some applications on C*-algebras, group algebras, matrix algebras, algebras of locally measurable operators and von Neumann algebras.