Orthogonally additive polynomials over C(K) are measures-A short proof

We give a simple proof of the fact that orthogonally additive polynomials on C(K) are represented by regular Borel measures over K. We also prove that the Aron-Berner extension preserves this class of polynomials. © Birkhäuser Verlag, Basel 2006.

Guardado en:
Detalles Bibliográficos
Autores principales: Carando, D., Lassalle, S., Zalduendo, I.
Formato: JOUR
Materias:
Polynomials on C(K)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0378620X_v56_n4_p597_Carando
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We give a simple proof of the fact that orthogonally additive polynomials on C(K) are represented by regular Borel measures over K. We also prove that the Aron-Berner extension preserves this class of polynomials. © Birkhäuser Verlag, Basel 2006.

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