Villanueva, Ignacio and Pérez García, David (2005) Orthogonally additive polynomials on spaces of continuous functions. Journal of Mathematical Analysis and applications, 306 (1). pp. 97105. ISSN 0022247X

PDF
246kB 
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 Lp 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 
Repository Staff Only: item control page