Some classes of multilinear operators on C(k) spaces

The authors obtain in this paper a classification of projective tensor products of C(K) spaces, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces, or the verification of certain Banach space properties of the corresponding tensor product. The main too...

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Detalles Bibliográficos
Autores: Bombal Gordon, Fernando, Villanueva Díez, Ignacio, 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:20.500.14352/57023
Acceso en línea:https://hdl.handle.net/20.500.14352/57023
Access Level:acceso abierto
Palabra clave:517.98
Classification of projective tensor product
Multilinear operators
Análisis funcional y teoría de operadores
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spelling Some classes of multilinear operators on C(k) spacesBombal Gordon, FernandoVillanueva Díez, IgnacioFernández Unzueta, M.517.98Classification of projective tensor productMultilinear operatorsAnálisis funcional y teoría de operadoresThe authors obtain in this paper a classification of projective tensor products of C(K) spaces, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces, or the verification of certain Banach space properties of the corresponding tensor product. The main tool used is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczy´nski’s (V) properties of the projective tensor product of Banach spaces. Finally, the paper ends with a study of the relationships between some classes of multilinear operators and their linearizations.Polish Acad Sciencies Inst MathematicsUniversidad Complutense de Madrid20012001-01-0120012001-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57023reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/570232026-06-02T12:44:21Z
dc.title.none.fl_str_mv Some classes of multilinear operators on C(k) spaces
title Some classes of multilinear operators on C(k) spaces
spellingShingle Some classes of multilinear operators on C(k) spaces
Bombal Gordon, Fernando
517.98
Classification of projective tensor product
Multilinear operators
Análisis funcional y teoría de operadores
title_short Some classes of multilinear operators on C(k) spaces
title_full Some classes of multilinear operators on C(k) spaces
title_fullStr Some classes of multilinear operators on C(k) spaces
title_full_unstemmed Some classes of multilinear operators on C(k) spaces
title_sort Some classes of multilinear operators on C(k) spaces
dc.creator.none.fl_str_mv Bombal Gordon, Fernando
Villanueva Díez, Ignacio
Fernández Unzueta, M.
author Bombal Gordon, Fernando
author_facet Bombal Gordon, Fernando
Villanueva Díez, Ignacio
Fernández Unzueta, M.
author_role author
author2 Villanueva Díez, Ignacio
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
Classification of projective tensor product
Multilinear operators
Análisis funcional y teoría de operadores
topic 517.98
Classification of projective tensor product
Multilinear operators
Análisis funcional y teoría de operadores
description The authors obtain in this paper a classification of projective tensor products of C(K) spaces, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces, or the verification of certain Banach space properties of the corresponding tensor product. The main tool used is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczy´nski’s (V) properties of the projective tensor product of Banach spaces. Finally, the paper ends with a study of the relationships between some classes of multilinear operators and their linearizations.
publishDate 2001
dc.date.none.fl_str_mv 2001
2001-01-01
2001
2001-01-01
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/20.500.14352/57023
url https://hdl.handle.net/20.500.14352/57023
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 Polish Acad Sciencies Inst Mathematics
publisher.none.fl_str_mv Polish Acad Sciencies Inst Mathematics
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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