Weak-polynomial convergence on spaces ℓp and Lp

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.

Guardado en:
Detalles Bibliográficos
Publicado: 2004
Materias:
Polynomials on Banach spaces
Weak-polynomial topologies
Zeros of polynomials on ℓp and Lp
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v8_n3_p283_Lassalle
http://hdl.handle.net/20.500.12110/paper_13851292_v8_n3_p283_Lassalle
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_13851292_v8_n3_p283_Lassalle
record_format dspace
spelling paper:paper_13851292_v8_n3_p283_Lassalle2025-07-30T18:48:28Z Weak-polynomial convergence on spaces ℓp and Lp Polynomials on Banach spaces Weak-polynomial topologies Zeros of polynomials on ℓp and Lp 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. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v8_n3_p283_Lassalle http://hdl.handle.net/20.500.12110/paper_13851292_v8_n3_p283_Lassalle
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 Banach spaces
Weak-polynomial topologies
Zeros of polynomials on ℓp and Lp
spellingShingle Polynomials on Banach spaces
Weak-polynomial topologies
Zeros of polynomials on ℓp and Lp
Weak-polynomial convergence on spaces ℓp and Lp
topic_facet Polynomials on Banach spaces
Weak-polynomial topologies
Zeros of polynomials on ℓp and Lp
description 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.
title Weak-polynomial convergence on spaces ℓp and Lp
title_short Weak-polynomial convergence on spaces ℓp and Lp
title_full Weak-polynomial convergence on spaces ℓp and Lp
title_fullStr Weak-polynomial convergence on spaces ℓp and Lp
title_full_unstemmed Weak-polynomial convergence on spaces ℓp and Lp
title_sort weak-polynomial convergence on spaces ℓp and lp
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13851292_v8_n3_p283_Lassalle
http://hdl.handle.net/20.500.12110/paper_13851292_v8_n3_p283_Lassalle
_version_ 1840325767905411072

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