We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists φ in A* satisfying P(x)=φ (xn), for each element x in A. The vector-valued analogue follows as a corollary.
No takes yet. Share an insight, caveat, or question.
Palazuelos et al. (2007) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: