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] 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 Tech-nology, Shanghai, 200237, China

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200292988)

语种：英文

外文关键词：Algebra

摘要：Let A be a ?-algebra and M be a ?-A-bimodule, we study the local properties of ?-derivations, ?-Jordan derivations, ?-left derivations and ?-Jordan left derivations from A into M under the following orthogonality conditions on elements in A: ab?= 0, ab?+ b?a = 0 and ab?= b?a = 0. We characterize the mappings on zero product determined algebras, zero Jordan product determined algebras and C?-algebras. Moreover, we give some appli- cations on matrix algebras, algebras of locally measurable operators and von Neumann algebras. Copyright ? 2019, The Authors. All rights reserved.