Unexpected subspaces of tensor products

We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly c...

Descripción completa

Detalles Bibliográficos
Autores: Cabello Sánchez, Félix, Pérez García, David, Villanueva Díez, Ignacio
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49481
Acceso en línea:https://hdl.handle.net/20.500.14352/49481
Access Level:acceso abierto
Palabra clave:517
Dunford-Pettis property
Banach-spaces
Análisis matemático
1202 Análisis y Análisis Funcional
id ES_998cb4fc2841389d94fcda4e27fc7bab
oai_identifier_str oai:docta.ucm.es:20.500.14352/49481
network_acronym_str ES
network_name_str España
repository_id_str
spelling Unexpected subspaces of tensor productsCabello Sánchez, FélixPérez García, DavidVillanueva Díez, Ignacio517Dunford-Pettis propertyBanach-spacesAnálisis matemático1202 Análisis y Análisis FuncionalWe describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly complemented copies of the l(2)(n) in c(0)circle times(pi)c(0.) We continue the study of c(0)(l(2)(n)) showing that it contains a complemented copy of Stegall's space c(0)(l(2)(n)) and proving that (c(0)circle times(pi)c(0))" is isomorphic to l infinity(l(infinity)(n)circle times(pi)l(infinity)(n)) together with other results. 2 In the last section we use Hardy spaces to find an isomorphic copy of L-p in the space of compact operators from L-q to L-r, where 1 < p, q, r < infinity and 1/r = 1/p + 1/q.Oxford University PressUniversidad Complutense de Madrid20062006-10-0120062006-10-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49481reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/494812026-06-02T12:44:21Z
dc.title.none.fl_str_mv Unexpected subspaces of tensor products
title Unexpected subspaces of tensor products
spellingShingle Unexpected subspaces of tensor products
Cabello Sánchez, Félix
517
Dunford-Pettis property
Banach-spaces
Análisis matemático
1202 Análisis y Análisis Funcional
title_short Unexpected subspaces of tensor products
title_full Unexpected subspaces of tensor products
title_fullStr Unexpected subspaces of tensor products
title_full_unstemmed Unexpected subspaces of tensor products
title_sort Unexpected subspaces of tensor products
dc.creator.none.fl_str_mv Cabello Sánchez, Félix
Pérez García, David
Villanueva Díez, Ignacio
author Cabello Sánchez, Félix
author_facet Cabello Sánchez, Félix
Pérez García, David
Villanueva Díez, Ignacio
author_role author
author2 Pérez García, David
Villanueva Díez, Ignacio
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517
Dunford-Pettis property
Banach-spaces
Análisis matemático
1202 Análisis y Análisis Funcional
topic 517
Dunford-Pettis property
Banach-spaces
Análisis matemático
1202 Análisis y Análisis Funcional
description We describe complemented Copies Of l(2) both in C(K-1)circle times C-pi(K-2) when at least one of the compact spaces K-i is not scattered and in L-1(mu(1))circle times L-is an element of(1)(mu(2)) when at least one of the measures is not atomic. The corresponding local construction gives uniformly complemented copies of the l(2)(n) in c(0)circle times(pi)c(0.) We continue the study of c(0)(l(2)(n)) showing that it contains a complemented copy of Stegall's space c(0)(l(2)(n)) and proving that (c(0)circle times(pi)c(0))" is isomorphic to l infinity(l(infinity)(n)circle times(pi)l(infinity)(n)) together with other results. 2 In the last section we use Hardy spaces to find an isomorphic copy of L-p in the space of compact operators from L-q to L-r, where 1 < p, q, r < infinity and 1/r = 1/p + 1/q.
publishDate 2006
dc.date.none.fl_str_mv 2006
2006-10-01
2006
2006-10-01
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/20.500.14352/49481
url https://hdl.handle.net/20.500.14352/49481
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 Oxford University Press
publisher.none.fl_str_mv Oxford University Press
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
_version_ 1869414298368868352
score 15,300724

Similares en LA Referencia