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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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