Unconditional bases in tensor products of Hilbert spaces

We prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if l(2) circle times(...)circle times l(2), endowed with the norm alpha, has an unconditional basis. This extends a classical result of Kwapien and Pelczynski. The symmetric versi...

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Detalhes bibliográficos
Autores: Villanueva Díez, Ignacio, Pérez García, David
Formato: artículo
Fecha de publicación:2005
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49597
Acesso em linha:https://hdl.handle.net/20.500.14352/49597
Access Level:acceso abierto
Palavra-chave:517.98
Banach-spaces
Polynomials
Forms
Hilbert-Schmidt operators
Unconditional basis
Tensor products
P-summing operators
Multilinear operators
Análisis funcional y teoría de operadores
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spelling Unconditional bases in tensor products of Hilbert spacesVillanueva Díez, IgnacioPérez García, David517.98Banach-spacesPolynomialsFormsHilbert-Schmidt operatorsUnconditional basisTensor productsP-summing operatorsMultilinear operatorsAnálisis funcional y teoría de operadoresWe prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if l(2) circle times(...)circle times l(2), endowed with the norm alpha, has an unconditional basis. This extends a classical result of Kwapien and Pelczynski. The symmetric version of that statement follows, and this extends a recent result of Defant, Diaz, Garcia and Maestre.Matematisk Institut, Universitetsparken NY MunkegadeUniversidad Complutense de Madrid20052005-01-0120052005-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49597reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/495972026-06-02T12:44:21Z
dc.title.none.fl_str_mv Unconditional bases in tensor products of Hilbert spaces
title Unconditional bases in tensor products of Hilbert spaces
spellingShingle Unconditional bases in tensor products of Hilbert spaces
Villanueva Díez, Ignacio
517.98
Banach-spaces
Polynomials
Forms
Hilbert-Schmidt operators
Unconditional basis
Tensor products
P-summing operators
Multilinear operators
Análisis funcional y teoría de operadores
title_short Unconditional bases in tensor products of Hilbert spaces
title_full Unconditional bases in tensor products of Hilbert spaces
title_fullStr Unconditional bases in tensor products of Hilbert spaces
title_full_unstemmed Unconditional bases in tensor products of Hilbert spaces
title_sort Unconditional bases in tensor products of Hilbert spaces
dc.creator.none.fl_str_mv Villanueva Díez, Ignacio
Pérez García, David
author Villanueva Díez, Ignacio
author_facet Villanueva Díez, Ignacio
Pérez García, David
author_role author
author2 Pérez García, David
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Banach-spaces
Polynomials
Forms
Hilbert-Schmidt operators
Unconditional basis
Tensor products
P-summing operators
Multilinear operators
Análisis funcional y teoría de operadores
topic 517.98
Banach-spaces
Polynomials
Forms
Hilbert-Schmidt operators
Unconditional basis
Tensor products
P-summing operators
Multilinear operators
Análisis funcional y teoría de operadores
description We prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if l(2) circle times(...)circle times l(2), endowed with the norm alpha, has an unconditional basis. This extends a classical result of Kwapien and Pelczynski. The symmetric version of that statement follows, and this extends a recent result of Defant, Diaz, Garcia and Maestre.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01
2005
2005-01-01
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/20.500.14352/49597
url https://hdl.handle.net/20.500.14352/49597
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 Matematisk Institut, Universitetsparken NY Munkegade
publisher.none.fl_str_mv Matematisk Institut, Universitetsparken NY Munkegade
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 15,301603

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