In order to further study of derivation

this paper introduces generalized antiderivation definition using the analogy method

and then it gives the relationship between generalized antiderivation and antiderivation.Finaly

it characterizes the generalized antiderivation though zero product properties.The conclusion is that let A be a Banach algebra with the property(C) and having a bounded approximate identity

let X be Banach A-bimodule such that {x∈X:axb=0

a

b∈Z(A)}={0}

and let δ:A→X be a contin...