On the three-space property for subprojective and superprojective banach spaces

We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superpr...

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Detalles Bibliográficos
Autores: González Ortiz, Manuel, Pello García, Javier
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/36211
Acceso en línea:https://hdl.handle.net/10902/36211
Access Level:acceso abierto
Palabra clave:Subprojective Banach space
Superprojective Banach space
Three-space property
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spelling On the three-space property for subprojective and superprojective banach spacesGonzález Ortiz, ManuelPello García, JavierSubprojective Banach spaceSuperprojective Banach spaceThree-space propertyWe introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.BirkhäuserUniversidad de Cantabria20252025-03-08journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/36211Mediterranean Journal of Mathematics, 2025, 22(2), 54reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/362112026-06-02T12:39:31Z
dc.title.none.fl_str_mv On the three-space property for subprojective and superprojective banach spaces
title On the three-space property for subprojective and superprojective banach spaces
spellingShingle On the three-space property for subprojective and superprojective banach spaces
González Ortiz, Manuel
Subprojective Banach space
Superprojective Banach space
Three-space property
title_short On the three-space property for subprojective and superprojective banach spaces
title_full On the three-space property for subprojective and superprojective banach spaces
title_fullStr On the three-space property for subprojective and superprojective banach spaces
title_full_unstemmed On the three-space property for subprojective and superprojective banach spaces
title_sort On the three-space property for subprojective and superprojective banach spaces
dc.creator.none.fl_str_mv González Ortiz, Manuel
Pello García, Javier
author González Ortiz, Manuel
author_facet González Ortiz, Manuel
Pello García, Javier
author_role author
author2 Pello García, Javier
author2_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Subprojective Banach space
Superprojective Banach space
Three-space property
topic Subprojective Banach space
Superprojective Banach space
Three-space property
description We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-08
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/36211
url https://hdl.handle.net/10902/36211
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Birkhäuser
publisher.none.fl_str_mv Birkhäuser
dc.source.none.fl_str_mv Mediterranean Journal of Mathematics, 2025, 22(2), 54
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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