Generalized Jordan Derivable Mappings at Zero Point on von Neumann Algebra

Derivable mappings play an important role in the study of the structure of operator algebras.In this paper,the concept of generalized Jordan derivable mappings at zero point on von Neumann algebra is introduced.The following conclusion is reached.The generalized Jordan derivable mappings at zero point on von Neumann algebra are the sum of an inner derivation and identical mapping produced at a fixed operator,and the similar result is obtained on B(H).