Generalized derivable mappings at zero point on some reflexive operator algebras Original Research Article

Let A be a subalgebra with the unit operator I in B(H), we say that a linear mapping phi from A into B(H) is a generalized derivable mapping at zero point if phi(ST) = phi(S)T + Sphi(T) − Sphi(I)T for any S, Tset membership, variantA with ST = 0. In this paper, we show the following main result: every norm-continuous generalized derivable mapping at zero point on finite CSL algebras is a generalized derivation.