Orthogonally additive polynomials on C*-Algebras
@article{Palazuelos2007OrthogonallyAP, title={Orthogonally additive polynomials on C*-Algebras}, author={Carlos Palazuelos and Antonio M. Peralta and Ignacio Villanueva}, journal={Quarterly Journal of Mathematics}, year={2007}, volume={59}, pages={363-374} }
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.
26 Citations
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