Orthogonally additive polynomials on spaces of continuous functions |
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| Authors: | David Pérez-García Ignacio Villanueva |
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| Institution: | a Área de Matemática Aplicada, ESCET, Universidad Rey Juan Carlos, 28933 Móstoles (Madrid), Spain
b Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain |
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| 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(fn). This is the C(K) version of a related result of Sundaresam for polynomials on Lp spaces. |
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| Keywords: | Spaces of continuous functions Orthogonally additive Polynomials |
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