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.

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Detalles Bibliográficos
Autores principales: Carando, Daniel German, Lassalle, Silvia Beatriz, Zalduendo, Ignacio Martín
Publicado: 2006
Materias:
Polynomials on C(K)
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v56_n4_p597_Carando
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
id paper:paper_0378620X_v56_n4_p597_Carando
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spelling paper:paper_0378620X_v56_n4_p597_Carando2023-06-08T15:40:25Z Orthogonally additive polynomials over C(K) are measures-A short proof Carando, Daniel German Lassalle, Silvia Beatriz Zalduendo, Ignacio Martín Polynomials on C(K) 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. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Lassalle, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zalduendo, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v56_n4_p597_Carando http://hdl.handle.net/20.500.12110/paper_0378620X_v56_n4_p597_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Polynomials on C(K)
spellingShingle Polynomials on C(K)
Carando, Daniel German
Lassalle, Silvia Beatriz
Zalduendo, Ignacio Martín
Orthogonally additive polynomials over C(K) are measures-A short proof
topic_facet Polynomials on C(K)
description 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.
author Carando, Daniel German
Lassalle, Silvia Beatriz
Zalduendo, Ignacio Martín
author_facet Carando, Daniel German
Lassalle, Silvia Beatriz
Zalduendo, Ignacio Martín
author_sort Carando, Daniel German
title Orthogonally additive polynomials over C(K) are measures-A short proof
title_short Orthogonally additive polynomials over C(K) are measures-A short proof
title_full Orthogonally additive polynomials over C(K) are measures-A short proof
title_fullStr Orthogonally additive polynomials over C(K) are measures-A short proof
title_full_unstemmed Orthogonally additive polynomials over C(K) are measures-A short proof
title_sort orthogonally additive polynomials over c(k) are measures-a short proof
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v56_n4_p597_Carando
http://hdl.handle.net/20.500.12110/paper_0378620X_v56_n4_p597_Carando
work_keys_str_mv AT carandodanielgerman orthogonallyadditivepolynomialsoverckaremeasuresashortproof
AT lassallesilviabeatriz orthogonallyadditivepolynomialsoverckaremeasuresashortproof
AT zalduendoignaciomartin orthogonallyadditivepolynomialsoverckaremeasuresashortproof
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