The Tsirelson space tau (p) has a unique unconditional basis up to permutation for 0 < p < 1

Albiac Alesanco, Fernando José; Leránoz Istúriz, María Camino

doi:10.1155/2009/780287

dc.creator	Albiac Alesanco, Fernando José	es_ES
dc.creator	Leránoz Istúriz, María Camino	es_ES
dc.date.accessioned	2014-05-14T07:34:56Z
dc.date.available	2014-05-14T07:34:56Z
dc.date.issued	2009
dc.identifier.issn	1085-3375
dc.identifier.other	703
dc.identifier.uri	https://hdl.handle.net/2454/10525
dc.description.abstract	We show that the p-convexified Tsirelson space tau((p)) for 0 < p < 1 and all its complemented subspaces with unconditional basis have unique unconditional basis up to permutation. The techniques involved in the proof are different from the methods that have been used in all the other uniqueness results in the nonlocally convex setting. Copyright (C) 2009 F. Albiac and C. Leranoz.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	eng	en
dc.publisher	Hindawi Publishing Corporation	en
dc.relation.ispartof	Abstract and Applied Analysis, 2009. Article ID 780287, 6 pages	en
dc.rights	© 2009 F. Albiac and C. Leránoz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/
dc.subject	Quasi-Banach spaces	en
dc.subject	Sequence spaces	en
dc.subject	Hardy spaces	en
dc.subject	Bases	en
dc.subject	0-less-than-P-less-than-1	en
dc.subject	LP	en
dc.subject	Mathematics	en
dc.title	The Tsirelson space tau (p) has a unique unconditional basis up to permutation for 0 < p < 1	en
dc.type	Artículo / Artikulua	es
dc.type	info:eu-repo/semantics/article	en
dc.contributor.department	Matemáticas	es_ES
dc.contributor.department	Matematika	eu
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.identifier.doi	10.1155/2009/780287
dc.relation.publisherversion	https://dx.doi.org/10.1155/2009/780287
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dc.type.version	info:eu-repo/semantics/acceptedVersion	en

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© 2009 F. Albiac and C. Leránoz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

La licencia del ítem se describe como © 2009 F. Albiac and C. Leránoz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.