Nonlinear

Let A be a unital *-algebra with the unit I and a nontrivial projection P∈A. Suppose that A satisfies XAP=0 implies X=0 and XA(I-P)=0 implies X=0. In this paper, we prove that ϕ is a nonlinear A*B+B*A type derivation on A if and only if ϕ is an additive *-derivation. This is then applied to prime *-... View More