Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products

Abbas Zivari-Kazempour, Abasalt Bodaghi
2022 Journal of Mathematics  
Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product. In other words, we show that under some conditions on elements of A, a linear map on A can be a generalized Jordan derivation.
doi:10.1155/2022/3386149 doaj:31cb14fd776442948678eee77cf596eb fatcat:ebjhfv2gibah7iqt5iuh4l7nsm