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Abstract:

This paper is concerned with the study of the set P -1(0), when P varies over all orthogonally additive polynomials on ℓp and Lp spaces. We apply our results to obtain characterizations of the weak-polynomial topologies associated to this class of polynomials. © 2004 Kluwer Academic Publishers.

Registro:

Documento: Artículo
Título:Weak-polynomial convergence on spaces ℓp and Lp
Autor:Lassalle, S.; Llavona, J.G.
Filiación:Departamento De Matemática, Fac. De Cs. Exact. Y Nat., Univ. D., (1428) Buenos Aires, Argentina
Depto. De Analisis Matematico, Fac. De Matemat., Univ. C., 28040 Madrid, Spain
Palabras clave:Polynomials on Banach spaces; Weak-polynomial topologies; Zeros of polynomials on ℓp and Lp
Año:2004
Volumen:8
Número:3
Página de inicio:283
Página de fin:296
DOI: http://dx.doi.org/10.1007/s11117-004-5008-x
Título revista:Positivity
Título revista abreviado:Positivity
ISSN:13851292
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v8_n3_p283_Lassalle

Referencias:

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  • Aron, R., Boyd, C., Ryan, R., Zalduendo, I., Zeros of polynomials on Banach spaces: The real story Positivity, , To appear in
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Citas:

---------- APA ----------
Lassalle, S. & Llavona, J.G. (2004) . Weak-polynomial convergence on spaces ℓp and Lp. Positivity, 8(3), 283-296.
http://dx.doi.org/10.1007/s11117-004-5008-x
---------- CHICAGO ----------
Lassalle, S., Llavona, J.G. "Weak-polynomial convergence on spaces ℓp and Lp" . Positivity 8, no. 3 (2004) : 283-296.
http://dx.doi.org/10.1007/s11117-004-5008-x
---------- MLA ----------
Lassalle, S., Llavona, J.G. "Weak-polynomial convergence on spaces ℓp and Lp" . Positivity, vol. 8, no. 3, 2004, pp. 283-296.
http://dx.doi.org/10.1007/s11117-004-5008-x
---------- VANCOUVER ----------
Lassalle, S., Llavona, J.G. Weak-polynomial convergence on spaces ℓp and Lp. Positivity. 2004;8(3):283-296.
http://dx.doi.org/10.1007/s11117-004-5008-x