Orthogonally additive polynomials on spaces of continuous functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:306

Article

Pérez-García, D ; Villanueva, I

关键词: spaces of continuous functions;    orthogonally additive;    polynomials;   

DOI  :  10.1016/j.jmaa.2004.12.036

来源: Elsevier

【 摘 要 】

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. (c) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free