Let be a unital algebra over a number field . A linear mapping from into itself is called a Jordan-centralized mapping at a given point if for all , with . In this paper, it is proved that each Jordan-centralized mapping at a given point of triangular algebras is a centralizer. These results are then applied to some non-self-adjoint operator algebras.
"On Jordan centralizers of triangular algebras." Banach J. Math. Anal. 10 (2) 223 - 234, April 2016. https://doi.org/10.1215/17358787-3492545