ORTHOGONALLY ADDITIVE POLYNOMIALS ON C*-ALGEBRAS

C. Palazuelos, A. M. Peralta, I. Villanueva
2007 Quarterly Journal of Mathematics  
Let A be a C*-algebra which has no quotient isomorphic to M2(C). We show that for every orthogonally additive scalar nhomogeneous polynomials P on A such that P is Strong* continuous on the closed unit ball of A, there exists ϕ in A * satisfying that P (x) = ϕ(x n ), for each element x in A. The vector valued analogue follows as a corollary.
doi:10.1093/qmath/ham042 fatcat:5tac4jhtcvcf3clsm67qfhr55m