CHARACTERIZATIONS OF CENTRALIZERS AND DERIVATIONS ON SOME ALGEBRAS

Jun He, Jiankui Li, Wenhua Qian
2017 Journal of the Korean Mathematical Society  
A linear mapping φ on an algebra A is called a centralizable is called a full-centralizable point (resp. full-derivable point) if every centralizable (resp. derivable) mapping at G is a centralizer (resp. derivation). We prove that every point in a von Neumann algebra or a triangular algebra is a full-centralizable point. We also prove that a point in a von Neumann algebra is a full-derivable point if and only if its central carrier is the unit.
doi:10.4134/jkms.j160265 fatcat:df4di7b5gvakllzzcxgx3ewhz4