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Orthogonally additive polynomials on spaces of continuous functions

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Villanueva, Ignacio and 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

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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 09:44
Last Modified:03 Dec 2014 15:44

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