Orthogonally additive polynomials on spaces of continuous functions
We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S : C(K) -> Y such that P(f) = S(f(n)). This is the C(K) version of a related result of Sundaresam for polynomials on L-p...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49451 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49451 |
| Access Level: | acceso abierto |
| Palabra clave: | 517 Spaces of continuous functions Orthogonally additive Polynomials Representation Theorem Análisis matemático 1202 Análisis y Análisis Funcional |
| Sumario: | We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S : C(K) -> Y such that P(f) = S(f(n)). This is the C(K) version of a related result of Sundaresam for polynomials on L-p spaces. |
|---|