Homogeneous orthogonally additive polynomials on Banach Lattices

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 la...

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Detalles Bibliográficos
Autor principal: Lassalle, Silvia Beatriz
Publicado: 2006
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v38_n3_p459_Benyamini
http://hdl.handle.net/20.500.12110/paper_00246093_v38_n3_p459_Benyamini
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00246093_v38_n3_p459_Benyamini
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spelling paper:paper_00246093_v38_n3_p459_Benyamini2023-06-08T14:52:30Z Homogeneous orthogonally additive polynomials on Banach Lattices Lassalle, Silvia Beatriz 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. Fil:Lassalle, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v38_n3_p459_Benyamini http://hdl.handle.net/20.500.12110/paper_00246093_v38_n3_p459_Benyamini
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Lassalle, Silvia Beatriz
spellingShingle Lassalle, Silvia Beatriz
Homogeneous orthogonally additive polynomials on Banach Lattices
author_facet Lassalle, Silvia Beatriz
author_sort Lassalle, Silvia Beatriz
title Homogeneous orthogonally additive polynomials on Banach Lattices
title_short Homogeneous orthogonally additive polynomials on Banach Lattices
title_full Homogeneous orthogonally additive polynomials on Banach Lattices
title_fullStr Homogeneous orthogonally additive polynomials on Banach Lattices
title_full_unstemmed Homogeneous orthogonally additive polynomials on Banach Lattices
title_sort homogeneous orthogonally additive polynomials on banach lattices
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00246093_v38_n3_p459_Benyamini
http://hdl.handle.net/20.500.12110/paper_00246093_v38_n3_p459_Benyamini
work_keys_str_mv AT lassallesilviabeatriz homogeneousorthogonallyadditivepolynomialsonbanachlattices
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