Artículo
Carando, D.; Lassalle, S.; Zalduendo, I. "Orthogonally additive polynomials over C(K) are measures-A short proof" (2006) Integral Equations and Operator Theory. 56(4):597-602
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Orthogonally additive polynomials over C(K) are measures-A short proof |
| Autor: | Carando, D.; Lassalle, S.; Zalduendo, I. |
| Filiación: | Depto. de Matemática, FCEN, Ciudad Universitaria, 1428 Buenos Aires, Argentina Depto. de Matemática, Universidad Torcuato di Tella, Miñones 2177, C1428ATG Buenos Aires, Argentina |
| Palabras clave: | Polynomials on C(K) |
| Año: | 2006 |
| Volumen: | 56 |
| Número: | 4 |
| Página de inicio: | 597 |
| Página de fin: | 602 |
| DOI: | http://dx.doi.org/10.1007/s00020-006-1439-z |
| Título revista: | Integral Equations and Operator Theory |
| Título revista abreviado: | Integr. Equ. Oper. Theory |
| ISSN: | 0378620X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v56_n4_p597_Carando |
Referencias:
- Arens, R., The adjoint of a bilinear operation (1951) Proc. Amer. Math. Soc, 2, pp. 839-848
- Aron, R., Berner, P., A Hahn-Banach extension theorem for analytic, mappings (1978) Bull. Soc. Math. France, 106 (1), pp. 3-24
- Benyamini, Y., Lassalle, S., Llavona, J.G., Homogeneous orthogonally additive polynomials on Banach lattices Bull. Lond. Math. Soc, , To appear
- Carando, D., Zalduendo, I., A Hahn-Banach theorem for integral polynomials (1999) Proc. Amer. Math. Soc, 127, pp. 241-250
- Carando, D., Zalduendo, I., Linearization of functions (2004) Math. Ann, 328, pp. 683-700
- Davie, A., Gamelin, T., A theorem on polynomial-star approximation (1989) Proc. Amer. Math. Soc, 106 (2), pp. 351-356
- Dineen, S., Complex Analysis on Infinite Dimensional Spaces (1999) Springer Monographs in Mathematics
- 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
Citas:
---------- APA ----------
Carando, D., Lassalle, S. & Zalduendo, I. (2006) . Orthogonally additive polynomials over C(K) are measures-A short proof. Integral Equations and Operator Theory, 56(4), 597-602.http://dx.doi.org/10.1007/s00020-006-1439-z
---------- CHICAGO ----------
Carando, D., Lassalle, S., Zalduendo, I. "Orthogonally additive polynomials over C(K) are measures-A short proof" . Integral Equations and Operator Theory 56, no. 4 (2006) : 597-602.http://dx.doi.org/10.1007/s00020-006-1439-z
---------- MLA ----------
Carando, D., Lassalle, S., Zalduendo, I. "Orthogonally additive polynomials over C(K) are measures-A short proof" . Integral Equations and Operator Theory, vol. 56, no. 4, 2006, pp. 597-602.http://dx.doi.org/10.1007/s00020-006-1439-z
---------- VANCOUVER ----------
Carando, D., Lassalle, S., Zalduendo, I. Orthogonally additive polynomials over C(K) are measures-A short proof. Integr. Equ. Oper. Theory. 2006;56(4):597-602.http://dx.doi.org/10.1007/s00020-006-1439-z
