Smooth functions with uncountably many zeros

In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al. [7, 9].

Detalles Bibliográficos
Autores: Conejero, Jose A., Muñoz-Fernández, Gustavo A., Arcila,, M., Seoane Sepúlveda, Juan Benigno
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34624
Acceso en línea:https://hdl.handle.net/20.500.14352/34624
Access Level:acceso abierto
Palabra clave:517.98
Lineability
Spaceability
Algebrability
Zero set
Análisis funcional y teoría de operadores
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repository_id_str
spelling Smooth functions with uncountably many zerosConejero, Jose A.Muñoz-Fernández, Gustavo A.Arcila,, M.Seoane Sepúlveda, Juan Benigno517.98LineabilitySpaceabilityAlgebrabilityZero setAnálisis funcional y teoría de operadoresIn this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al. [7, 9].BELGIAN MATHEMATICAL SOC TRIOMPHEUniversidad Complutense de Madrid20152015-01-0120152015-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/34624reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/346242026-06-02T12:44:21Z
dc.title.none.fl_str_mv Smooth functions with uncountably many zeros
title Smooth functions with uncountably many zeros
spellingShingle Smooth functions with uncountably many zeros
Conejero, Jose A.
517.98
Lineability
Spaceability
Algebrability
Zero set
Análisis funcional y teoría de operadores
title_short Smooth functions with uncountably many zeros
title_full Smooth functions with uncountably many zeros
title_fullStr Smooth functions with uncountably many zeros
title_full_unstemmed Smooth functions with uncountably many zeros
title_sort Smooth functions with uncountably many zeros
dc.creator.none.fl_str_mv Conejero, Jose A.
Muñoz-Fernández, Gustavo A.
Arcila,, M.
Seoane Sepúlveda, Juan Benigno
author Conejero, Jose A.
author_facet Conejero, Jose A.
Muñoz-Fernández, Gustavo A.
Arcila,, M.
Seoane Sepúlveda, Juan Benigno
author_role author
author2 Muñoz-Fernández, Gustavo A.
Arcila,, M.
Seoane Sepúlveda, Juan Benigno
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517.98
Lineability
Spaceability
Algebrability
Zero set
Análisis funcional y teoría de operadores
topic 517.98
Lineability
Spaceability
Algebrability
Zero set
Análisis funcional y teoría de operadores
description In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al. [7, 9].
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01
2015
2015-01-01
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/20.500.14352/34624
url https://hdl.handle.net/20.500.14352/34624
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 BELGIAN MATHEMATICAL SOC TRIOMPHE
publisher.none.fl_str_mv BELGIAN MATHEMATICAL SOC TRIOMPHE
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_ 1869409185237565440
score 15.300724

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