Publication: Orthogonally additive polynomials on C*-Algebras
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Publication Date
2008-09
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Oxford University Press
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Abstract
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.