Biblioteca de la Universidad Complutense de Madrid

Orthogonally additive polynomials on spaces of continuous functions

Impacto



Villanueva, Ignacio y Pérez García, David (2005) Orthogonally additive polynomials on spaces of continuous functions. Journal of Mathematical Analysis and applications, 306 (1). pp. 97-105. ISSN 0022-247X

[img]
Vista previa
PDF
246kB

URL Oficial: http://www.sciencedirect.com/science/journal/0022247X



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Spaces of continuous functions; Orthogonally additive; Polynomials; Representation; Theorem
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:11674
Depositado:29 Nov 2010 09:44
Última Modificación:03 Dic 2014 15:44

Sólo personal del repositorio: página de control del artículo