The strong Nakano property in Banach lattices

We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space E, the free Banach lattice FBL[E] has the strong Nakano property with a constant independent of the dimension. It is also shown that if FBL[E] h...

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Detalles Bibliográficos
Autores: Azouzi, Y., Ben Rjeb, A., Tradacete, P.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/425349
Acceso en línea:http://hdl.handle.net/10261/425349
https://www.scopus.com/inward/record.uri?eid=2-s2.0-105011363737&doi=10.1007%2Fs13398-025-01764-7&partnerID=40&md5=79fbb34e97b18bc530ce6402a801f900
Access Level:acceso abierto
Palabra clave:Banach lattice
Strong Nakano property
Free Banach lattice
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spelling The strong Nakano property in Banach latticesAzouzi, Y.Ben Rjeb, A.Tradacete, P.Banach latticeStrong Nakano propertyFree Banach latticeWe study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space E, the free Banach lattice FBL[E] has the strong Nakano property with a constant independent of the dimension. It is also shown that if FBL[E] has the strong Nakano property, then E cannot contain subspaces isomorphic to neither c0 nor L1. © The Author(s) 2025.This research has been funded by CSIC i-COOP program under grant COOPB20617. Research of P. Tradacete partially supported by grants PID2020-116398GB-I00 and CEX2019-000904-S funded by MCIN/AEI/10.13039/501100011033, as well as by a 2022 Leonardo Grant for Researchers and Cultural Creators, BBVA Foundation. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.Peer reviewedSpringer NatureMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202620262025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/425349https://www.scopus.com/inward/record.uri?eid=2-s2.0-105011363737&doi=10.1007%2Fs13398-025-01764-7&partnerID=40&md5=79fbb34e97b18bc530ce6402a801f900reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1007/s13398-025-01764-7Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4253492026-05-22T06:33:51Z
dc.title.none.fl_str_mv The strong Nakano property in Banach lattices
title The strong Nakano property in Banach lattices
spellingShingle The strong Nakano property in Banach lattices
Azouzi, Y.
Banach lattice
Strong Nakano property
Free Banach lattice
title_short The strong Nakano property in Banach lattices
title_full The strong Nakano property in Banach lattices
title_fullStr The strong Nakano property in Banach lattices
title_full_unstemmed The strong Nakano property in Banach lattices
title_sort The strong Nakano property in Banach lattices
dc.creator.none.fl_str_mv Azouzi, Y.
Ben Rjeb, A.
Tradacete, P.
author Azouzi, Y.
author_facet Azouzi, Y.
Ben Rjeb, A.
Tradacete, P.
author_role author
author2 Ben Rjeb, A.
Tradacete, P.
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Banach lattice
Strong Nakano property
Free Banach lattice
topic Banach lattice
Strong Nakano property
Free Banach lattice
description We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space E, the free Banach lattice FBL[E] has the strong Nakano property with a constant independent of the dimension. It is also shown that if FBL[E] has the strong Nakano property, then E cannot contain subspaces isomorphic to neither c0 nor L1. © The Author(s) 2025.
publishDate 2025
dc.date.none.fl_str_mv 2025
2026
2026
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/425349
https://www.scopus.com/inward/record.uri?eid=2-s2.0-105011363737&doi=10.1007%2Fs13398-025-01764-7&partnerID=40&md5=79fbb34e97b18bc530ce6402a801f900
url http://hdl.handle.net/10261/425349
https://www.scopus.com/inward/record.uri?eid=2-s2.0-105011363737&doi=10.1007%2Fs13398-025-01764-7&partnerID=40&md5=79fbb34e97b18bc530ce6402a801f900
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1007/s13398-025-01764-7
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
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