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

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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
Autor principal: Carando, D.
Otros Autores: Lassalle, S., Zalduendo, I.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2006
Acceso en línea:Registro en Scopus
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Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Carando, D. 
245 1 0 |a Orthogonally additive polynomials over C(K) are measures-A short proof 
260 |c 2006 
270 1 0 |m Carando, D.; Depto. de Matemática, FCEN, Ciudad Universitaria, 1428 Buenos Aires, Argentina; email: dcarando@dm.uba.ar 
506 |2 openaire  |e Política editorial 
504 |a Arens, R., The adjoint of a bilinear operation (1951) Proc. Amer. Math. Soc, 2, pp. 839-848 
504 |a Aron, R., Berner, P., A Hahn-Banach extension theorem for analytic, mappings (1978) Bull. Soc. Math. France, 106 (1), pp. 3-24 
504 |a Benyamini, Y., Lassalle, S., Llavona, J.G., Homogeneous orthogonally additive polynomials on Banach lattices Bull. Lond. Math. Soc, , To appear 
504 |a Carando, D., Zalduendo, I., A Hahn-Banach theorem for integral polynomials (1999) Proc. Amer. Math. Soc, 127, pp. 241-250 
504 |a Carando, D., Zalduendo, I., Linearization of functions (2004) Math. Ann, 328, pp. 683-700 
504 |a Davie, A., Gamelin, T., A theorem on polynomial-star approximation (1989) Proc. Amer. Math. Soc, 106 (2), pp. 351-356 
504 |a Dineen, S., Complex Analysis on Infinite Dimensional Spaces (1999) Springer Monographs in Mathematics 
504 |a J. Mujica, Complex Analysis in Banach Spaces. Math. Studies 120, North-Holland, Amsterdam, 1986; Pérez-García, D., Villanueva, I., Orthogonally additive polynomials on spaces of continuous functions (2005) J. Math. Anal. Appl, 306 (1), pp. 97-105 
520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: Partially supported by PIP 5272. The first and second authors were supported in part by UBA-CyT X108 and PICT 03-15033. The first author was also supported by CONICET Res. N1584-04. 
593 |a Depto. de Matemática, FCEN, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
593 |a Depto. de Matemática, Universidad Torcuato di Tella, Miñones 2177, C1428ATG Buenos Aires, Argentina 
690 1 0 |a POLYNOMIALS ON C(K) 
700 1 |a Lassalle, S. 
700 1 |a Zalduendo, I. 
773 0 |d 2006  |g v. 56  |h pp. 597-602  |k n. 4  |p Integr. Equ. Oper. Theory  |x 0378620X  |t Integral Equations and Operator Theory 
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856 4 0 |u https://doi.org/10.1007/s00020-006-1439-z  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_0378620X_v56_n4_p597_Carando  |y Handle 
856 4 0 |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v56_n4_p597_Carando  |y Registro en la Biblioteca Digital 
961 |a paper_0378620X_v56_n4_p597_Carando  |b paper  |c PE 
962 |a info:eu-repo/semantics/article  |a info:ar-repo/semantics/artículo  |b info:eu-repo/semantics/publishedVersion 
999 |c 67772 

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