Extendibility of bilinear forms on banach sequence spaces
[EN] We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c(0) in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace.
| Authors: | , |
|---|---|
| Format: | article |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/79717 |
| Online Access: | https://riunet.upv.es/handle/10251/79717 |
| Access Level: | Open access |
| Keyword: | Multilinear forms Extension Polynomials Subspaces Mappings MATEMATICA APLICADA |
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Extendibility of bilinear forms on banach sequence spacesDANIEL CARANDOSevilla Peris, Pablo|||0000-0001-5222-4768Multilinear formsExtensionPolynomialsSubspacesMappingsMATEMATICA APLICADA[EN] We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c(0) in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace.The second author was supported by MICINN Project MTM2011-22417.Springer Verlag (Germany)Departamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería Agronómica y del Medio NaturalMinisterio de Ciencia e InnovaciónConsejo Nacional de Investigaciones Científicas y Técnicas, ArgentinaUniversidad de Buenos AiresRepositorio Institucional de la Universitat Politècnica de València Riunet20142014-03-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/79717reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversidad de Buenos Aires https://doi.org/10.13039/501100005363 UBACyT 20020100100746BA Operadores multilineales, polinomios y funciones analíticas en espacios de BanachAgencia Nacional de Promoción Científica y Tecnológica, Argentina https://doi.org/10.13039/501100003074 PICT-2011-1456 Análisis multilineal y complejo en espacios de BanachConsejo Nacional de Investigaciones Científicas y Técnicas, Argentina https://doi.org/10.13039/501100002923 PIP 0624Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-22417 ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLESopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/797172026-06-13T07:49:27Z |
| dc.title.none.fl_str_mv |
Extendibility of bilinear forms on banach sequence spaces |
| title |
Extendibility of bilinear forms on banach sequence spaces |
| spellingShingle |
Extendibility of bilinear forms on banach sequence spaces DANIEL CARANDO Multilinear forms Extension Polynomials Subspaces Mappings MATEMATICA APLICADA |
| title_short |
Extendibility of bilinear forms on banach sequence spaces |
| title_full |
Extendibility of bilinear forms on banach sequence spaces |
| title_fullStr |
Extendibility of bilinear forms on banach sequence spaces |
| title_full_unstemmed |
Extendibility of bilinear forms on banach sequence spaces |
| title_sort |
Extendibility of bilinear forms on banach sequence spaces |
| dc.creator.none.fl_str_mv |
DANIEL CARANDO Sevilla Peris, Pablo|||0000-0001-5222-4768 |
| author |
DANIEL CARANDO |
| author_facet |
DANIEL CARANDO Sevilla Peris, Pablo|||0000-0001-5222-4768 |
| author_role |
author |
| author2 |
Sevilla Peris, Pablo|||0000-0001-5222-4768 |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Departamento de Matemática Aplicada Instituto Universitario de Matemática Pura y Aplicada Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural Ministerio de Ciencia e Innovación Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina Universidad de Buenos Aires Repositorio Institucional de la Universitat Politècnica de València Riunet |
| dc.subject.none.fl_str_mv |
Multilinear forms Extension Polynomials Subspaces Mappings MATEMATICA APLICADA |
| topic |
Multilinear forms Extension Polynomials Subspaces Mappings MATEMATICA APLICADA |
| description |
[EN] We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c(0) in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014 2014-03-01 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 VoR http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://riunet.upv.es/handle/10251/79717 |
| url |
https://riunet.upv.es/handle/10251/79717 |
| dc.language.none.fl_str_mv |
Inglés eng |
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Inglés |
| language |
eng |
| dc.relation.none.fl_str_mv |
Universidad de Buenos Aires https://doi.org/10.13039/501100005363 UBACyT 20020100100746BA Operadores multilineales, polinomios y funciones analíticas en espacios de Banach Agencia Nacional de Promoción Científica y Tecnológica, Argentina https://doi.org/10.13039/501100003074 PICT-2011-1456 Análisis multilineal y complejo en espacios de Banach Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina https://doi.org/10.13039/501100002923 PIP 0624 Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2011-22417 ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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openAccess |
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application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Springer Verlag (Germany) |
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Springer Verlag (Germany) |
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reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname:Universitat Politècnica de València (UPV) |
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Universitat Politècnica de València (UPV) |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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