Orthogonally additive polynomials on C*-Algebras
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2008
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Oxford University Press
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Palazuelos, C., Villanueva Díez, I. & Peralta Pereira, A. M. «ORTHOGONALLY ADDITIVE POLYNOMIALS ON C*-ALGEBRAS». The Quarterly Journal of Mathematics, vol. 59, n.o 3, diciembre de 2007, pp. 363-74. DOI.org (Crossref), https://doi.org/10.1093/qmath/ham042.
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.