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.

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Detalles Bibliográficos
Autores principales: Lassalle, S., Llavona, J.G.
Formato: JOUR
Materias:
Polynomials on Banach spaces
Weak-polynomial topologies
Zeros of polynomials on ℓp and Lp
Acceso en línea: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 todo:paper_13851292_v8_n3_p283_Lassalle
record_format dspace
spelling todo:paper_13851292_v8_n3_p283_Lassalle2023-10-03T16:12:09Z Weak-polynomial convergence on spaces ℓp and Lp Lassalle, S. Llavona, J.G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Lassalle, S.
Llavona, J.G.
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.
format JOUR
author Lassalle, S.
Llavona, J.G.
author_facet Lassalle, S.
Llavona, J.G.
author_sort Lassalle, S.
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
url http://hdl.handle.net/20.500.12110/paper_13851292_v8_n3_p283_Lassalle
work_keys_str_mv AT lassalles weakpolynomialconvergenceonspaceslpandlp
AT llavonajg weakpolynomialconvergenceonspaceslpandlp
_version_ 1807318971798519808

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