On perfectly homogeneous bases in quasi-Banach spaces

Albiac Alesanco, Fernando José; Leránoz Istúriz, María Camino

doi:10.1155/2009/865371

dc.creator	Albiac Alesanco, Fernando José	es_ES
dc.creator	Leránoz Istúriz, María Camino	es_ES
dc.date.accessioned	2014-05-14T07:34:57Z
dc.date.available	2014-05-14T07:34:57Z
dc.date.issued	2009
dc.identifier.issn	1085-3375
dc.identifier.other	704
dc.identifier.uri	https://hdl.handle.net/2454/10526
dc.description.abstract	For 0 < p < infinity the unit vector basis of l(p) has the property of perfect homogeneity: it is equivalent to all its normalized block basic sequences, that is, perfectly homogeneous bases are a special case of symmetric bases. For Banach spaces, a classical result of Zippin (1966) proved that perfectly homogeneous bases are equivalent to either the canonical c(0)-basis or the canonical l(p)-basis for some 1 <= p < infinity. In this note, we show that (a relaxed form of) perfect homogeneity characterizes the unit vector bases of l(p) for 0 < p < 1 as well amongst bases in nonlocally convex quasi-Banach spaces. 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 865371, 7 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	Orlicz sequence spaces	en
dc.subject	Uniqueness	en
dc.subject	Mathematics	en
dc.title	On perfectly homogeneous bases in quasi-Banach spaces	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	10.1155/2009/865371
dc.relation.publisherversion	https://dx.doi.org/10.1155/2009/865371
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.