Artículo
Benyamini, Y.; Lassalle, S.; Llavona, J.G. "Homogeneous orthogonally additive polynomials on Banach Lattices" (2006) Bulletin of the London Mathematical Society. 38(3):459-469
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Abstract:
The main result in this paper is a representation theorem for homogeneous orthogonally additive polynomials on Banach lattices. The representation theorem is used to study the linear span of the set of zeros of homogeneous real-valued orthogonally additive polynomials. It is shown that in certain lattices every element can be represented as the sum of two or three zeros or, at least, can be approximated by such sums. It is also indicated how these results can be used to study weak topologies induced by orthogonally additive polynomials on Banach lattices. © 2006 London Mathematical Society.
Registro:
| Documento: | Artículo |
| Título: | Homogeneous orthogonally additive polynomials on Banach Lattices |
| Autor: | Benyamini, Y.; Lassalle, S.; Llavona, J.G. |
| Filiación: | Department of Mathematics, Technion, Israel Institute of Technology, Haifa 32000, Israel Departamento de Matemática - PAB I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain |
| Año: | 2006 |
| Volumen: | 38 |
| Número: | 3 |
| Página de inicio: | 459 |
| Página de fin: | 469 |
| DOI: | http://dx.doi.org/10.1112/S0024609306018364 |
| Título revista: | Bulletin of the London Mathematical Society |
| Título revista abreviado: | Bull. Lond. Math. Soc. |
| ISSN: | 00246093 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v38_n3_p459_Benyamini |
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Citas:
---------- APA ----------
Benyamini, Y., Lassalle, S. & Llavona, J.G. (2006) . Homogeneous orthogonally additive polynomials on Banach Lattices. Bulletin of the London Mathematical Society, 38(3), 459-469.http://dx.doi.org/10.1112/S0024609306018364
---------- CHICAGO ----------
Benyamini, Y., Lassalle, S., Llavona, J.G. "Homogeneous orthogonally additive polynomials on Banach Lattices" . Bulletin of the London Mathematical Society 38, no. 3 (2006) : 459-469.http://dx.doi.org/10.1112/S0024609306018364
---------- MLA ----------
Benyamini, Y., Lassalle, S., Llavona, J.G. "Homogeneous orthogonally additive polynomials on Banach Lattices" . Bulletin of the London Mathematical Society, vol. 38, no. 3, 2006, pp. 459-469.http://dx.doi.org/10.1112/S0024609306018364
---------- VANCOUVER ----------
Benyamini, Y., Lassalle, S., Llavona, J.G. Homogeneous orthogonally additive polynomials on Banach Lattices. Bull. Lond. Math. Soc. 2006;38(3):459-469.http://dx.doi.org/10.1112/S0024609306018364
