2019/07/09 by An, Guangyu, He, Jun, Li, Jiankui
#FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1907.03940
Let A be a *-algebra and M be a *-\mathcal A-bimodule, we study the local properties of *-derivations and *-Jordan derivations from A into M under the following orthogonality conditions on elements in \mathcal A: ab^*=0, ab^*+b^*a=0 and ab^*=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 algebra, matrix algebras, algebras of locally measurable operators and von Neumann algebras.