Villanueva Díez, Ignacio and Pérez García, David (2005) Orthogonally additive polynomials on spaces of continuous functions. Journal of Mathematical Analysisand applications, 306 (1). pp. 97-105. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/journal/0022247X
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Spaces of continuous functions; Orthogonally additive; Polynomials; Representation; Theorem |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 11674 |
| Deposited On: | 29 Nov 2010 10:44 |
| Last Modified: | 29 Nov 2010 10:44 |
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