Unconditionally converging multilinear operators

We introduce a notion of unconditionally converging multilinear operator which allows to extend many of the results of the linear case to the multilinear case. We prove several characterizations of these multilinear operators (one of which seems to be new also in the linear case), which allow to con...

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Detalles Bibliográficos
Autores: Villanueva Díez, Ignacio, Bombal Gordon, Fernando, Fernández Unzueta, M.
Tipo de recurso: artículo
Fecha de publicación:2001
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/57024
Acceso en línea:https://hdl.handle.net/20.500.14352/57024
Access Level:acceso abierto
Palabra clave:517.98
Unconditionally converging
Multilinear operators
Weakly unconditionally Cauchy series
Banach-spaces
Análisis funcional y teoría de operadores
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spelling Unconditionally converging multilinear operatorsVillanueva Díez, IgnacioBombal Gordon, FernandoFernández Unzueta, M.517.98Unconditionally convergingMultilinear operatorsWeakly unconditionally Cauchy seriesBanach-spacesAnálisis funcional y teoría de operadoresWe introduce a notion of unconditionally converging multilinear operator which allows to extend many of the results of the linear case to the multilinear case. We prove several characterizations of these multilinear operators (one of which seems to be new also in the linear case), which allow to considerably simplify the work with this kind of operatorsAkademie-VerlagUniversidad Complutense de Madrid20012001-06-0120012001-06-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57024reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/570242026-06-02T12:44:21Z
dc.title.none.fl_str_mv Unconditionally converging multilinear operators
title Unconditionally converging multilinear operators
spellingShingle Unconditionally converging multilinear operators
Villanueva Díez, Ignacio
517.98
Unconditionally converging
Multilinear operators
Weakly unconditionally Cauchy series
Banach-spaces
Análisis funcional y teoría de operadores
title_short Unconditionally converging multilinear operators
title_full Unconditionally converging multilinear operators
title_fullStr Unconditionally converging multilinear operators
title_full_unstemmed Unconditionally converging multilinear operators
title_sort Unconditionally converging multilinear operators
dc.creator.none.fl_str_mv Villanueva Díez, Ignacio
Bombal Gordon, Fernando
Fernández Unzueta, M.
author Villanueva Díez, Ignacio
author_facet Villanueva Díez, Ignacio
Bombal Gordon, Fernando
Fernández Unzueta, M.
author_role author
author2 Bombal Gordon, Fernando
Fernández Unzueta, M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Unconditionally converging
Multilinear operators
Weakly unconditionally Cauchy series
Banach-spaces
Análisis funcional y teoría de operadores
topic 517.98
Unconditionally converging
Multilinear operators
Weakly unconditionally Cauchy series
Banach-spaces
Análisis funcional y teoría de operadores
description We introduce a notion of unconditionally converging multilinear operator which allows to extend many of the results of the linear case to the multilinear case. We prove several characterizations of these multilinear operators (one of which seems to be new also in the linear case), which allow to considerably simplify the work with this kind of operators
publishDate 2001
dc.date.none.fl_str_mv 2001
2001-06-01
2001
2001-06-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/57024
url https://hdl.handle.net/20.500.14352/57024
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Akademie-Verlag
publisher.none.fl_str_mv Akademie-Verlag
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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