Orthogonally additive polynomials on C*-Algebras

  title={Orthogonally additive polynomials on C*-Algebras},
  author={Carlos Palazuelos and Antonio M. Peralta and Ignacio Villanueva},
  journal={Quarterly Journal of Mathematics},
We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary. 
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