Orthogonally additive polynomials on C*-Algebras
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.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49455 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49455 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Functionals Representation Theorem Spaces Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | 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. |
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