To what extent does the dual Banach space E′ determine the polynomials over E?

Autores
Lassalle, Silvia Beatriz; Zalduendo, Ignacio Martin
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneous polynomials over E and F are isomorphic. Some subspaces of polynomials more closely related to the structure of dual spaces (weakly continuous, integral, extendible) are shown to be isomorphic in full generality.
Fil: Lassalle, Silvia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Zalduendo, Ignacio Martin. Universidad de San Andrés; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Isomorphic
Dual Banach space
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/149061
Acceder
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network_name_str CONICET Digital (CONICET)
spelling To what extent does the dual Banach space E′ determine the polynomials over E?Lassalle, Silvia BeatrizZalduendo, Ignacio MartinIsomorphicDual Banach spacehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneous polynomials over E and F are isomorphic. Some subspaces of polynomials more closely related to the structure of dual spaces (weakly continuous, integral, extendible) are shown to be isomorphic in full generality.Fil: Lassalle, Silvia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Zalduendo, Ignacio Martin. Universidad de San Andrés; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2000-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/149061Lassalle, Silvia Beatriz; Zalduendo, Ignacio Martin; To what extent does the dual Banach space E′ determine the polynomials over E?; Springer; Arkiv For Matematik; 38; 2; 10-2000; 343-3540004-2080CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/BF02384324info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/arkiv-for-matematik/volume-38/issue-2/To-what-extent-does-the-dual-Banach-space-E-determine/10.1007/BF02384324.fullinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/BF02384324info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:33:40Zoai:ri.conicet.gov.ar:11336/149061instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 15:33:40.327CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv To what extent does the dual Banach space E′ determine the polynomials over E?
title To what extent does the dual Banach space E′ determine the polynomials over E?
spellingShingle To what extent does the dual Banach space E′ determine the polynomials over E?
Lassalle, Silvia Beatriz
Isomorphic
Dual Banach space
title_short To what extent does the dual Banach space E′ determine the polynomials over E?
title_full To what extent does the dual Banach space E′ determine the polynomials over E?
title_fullStr To what extent does the dual Banach space E′ determine the polynomials over E?
title_full_unstemmed To what extent does the dual Banach space E′ determine the polynomials over E?
title_sort To what extent does the dual Banach space E′ determine the polynomials over E?
dc.creator.none.fl_str_mv Lassalle, Silvia Beatriz
Zalduendo, Ignacio Martin
author Lassalle, Silvia Beatriz
author_facet Lassalle, Silvia Beatriz
Zalduendo, Ignacio Martin
author_role author
author2 Zalduendo, Ignacio Martin
author2_role author
dc.subject.none.fl_str_mv Isomorphic
Dual Banach space
topic Isomorphic
Dual Banach space
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneous polynomials over E and F are isomorphic. Some subspaces of polynomials more closely related to the structure of dual spaces (weakly continuous, integral, extendible) are shown to be isomorphic in full generality.
Fil: Lassalle, Silvia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Zalduendo, Ignacio Martin. Universidad de San Andrés; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneous polynomials over E and F are isomorphic. Some subspaces of polynomials more closely related to the structure of dual spaces (weakly continuous, integral, extendible) are shown to be isomorphic in full generality.
publishDate 2000
dc.date.none.fl_str_mv 2000-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/149061
Lassalle, Silvia Beatriz; Zalduendo, Ignacio Martin; To what extent does the dual Banach space E′ determine the polynomials over E?; Springer; Arkiv For Matematik; 38; 2; 10-2000; 343-354
0004-2080
CONICET Digital
CONICET
url http://hdl.handle.net/11336/149061
identifier_str_mv Lassalle, Silvia Beatriz; Zalduendo, Ignacio Martin; To what extent does the dual Banach space E′ determine the polynomials over E?; Springer; Arkiv For Matematik; 38; 2; 10-2000; 343-354
0004-2080
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/BF02384324
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/journals/arkiv-for-matematik/volume-38/issue-2/To-what-extent-does-the-dual-Banach-space-E-determine/10.1007/BF02384324.full
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/BF02384324
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.22299

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