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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2004
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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 |
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paper:paper_13851292_v8_n3_p283_Lassalle2023-06-08T16:12:42Z 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_ |
1768543960533303296 |