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
Official URL: http://www.sciencedirect.com/science/journal/0022247X
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.
|Uncontrolled Keywords:||Spaces of continuous functions; Orthogonally additive; Polynomials; Representation; Theorem|
|Subjects:||Sciences > Mathematics > Mathematical analysis|
|Deposited On:||29 Nov 2010 09:44|
|Last Modified:||03 Dec 2014 15:44|
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