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Orthogonally additive polynomials on C*-Algebras

Villanueva, Ignacio and Palazuelos Cabezón, Carlos and Peralta Pereira, Antonio Miguel (2008) Orthogonally additive polynomials on C*-Algebras. Quarterly Journal of Mathematics , 59 . pp. 363-374. ISSN 0033-5606

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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.


Item Type:Article
Uncontrolled Keywords:Functionals; Representation; Theorem; Spaces
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:11678
Deposited On:29 Nov 2010 09:25
Last Modified:06 Feb 2014 09:08

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