Villanueva Díez, 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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Official URL: http://qjmath.oxfordjournals.org/
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 10:25 |
| Last Modified: | 30 Nov 2012 15:30 |
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