Smooth functions with uncountably many zeros
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et al. [7, 9].
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/64844 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/64844 |
| Access Level: | acceso abierto |
| Palabra clave: | Lineability Spaceability Algebrability Zero set MATEMATICA APLICADA |
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Smooth functions with uncountably many zerosConejero, J. Alberto|||0000-0003-3681-7533Muñoz-Fernández, Gustavo A.Murillo Arcila, MarinaSeoane Sepúlveda, Juan BenignoLineabilitySpaceabilityAlgebrabilityZero setMATEMATICA APLICADA[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et al. [7, 9].The authors would like to thank the anonymous referee, whose thorough analysis and insightful remarks improved the text. The authors were supported by CNPq Grant 401735/2013-3 (PVE - Linha 2), MTM2012-34341, MEC Project MTM2013-47093-P, and Programa de Investigacion y Desarrollo de la UPV, Referencia SP2012070. The third author is also supported by a FPU grant of MEC Project MTM2010-14909.Belgian Mathematical SocietyDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaMinisterio de Ciencia e InnovaciónUniversitat Politècnica de ValènciaConselho Nacional de Desenvolvimento Científico e Tecnológico, BrasilMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20152015-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/64844reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Politècnica de València https://doi.org/10.13039/501100004233 SP20120700Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brasil https://doi.org/10.13039/501100003593 401735%2F2013-3Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-47093-P HIPERCICLICIDAD Y CAOS DE OPERADORESMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-14909 HIPERCICLICIDAD Y CAOS DE OPERADORESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-34341 ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICOopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/648442026-06-13T07:49:27Z |
| 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, J. Alberto|||0000-0003-3681-7533 Lineability Spaceability Algebrability Zero set MATEMATICA APLICADA |
| 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, J. Alberto|||0000-0003-3681-7533 Muñoz-Fernández, Gustavo A. Murillo Arcila, Marina Seoane Sepúlveda, Juan Benigno |
| author |
Conejero, J. Alberto|||0000-0003-3681-7533 |
| author_facet |
Conejero, J. Alberto|||0000-0003-3681-7533 Muñoz-Fernández, Gustavo A. Murillo Arcila, Marina Seoane Sepúlveda, Juan Benigno |
| author_role |
author |
| author2 |
Muñoz-Fernández, Gustavo A. Murillo Arcila, Marina Seoane Sepúlveda, Juan Benigno |
| author2_role |
author author author |
| dc.contributor.none.fl_str_mv |
Departamento de Matemática Aplicada Instituto Universitario de Matemática Pura y Aplicada Escuela Técnica Superior de Ingeniería Informática Ministerio de Ciencia e Innovación Universitat Politècnica de València Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brasil Ministerio de Economía y Competitividad Repositorio Institucional de la Universitat Politècnica de València Riunet |
| dc.subject.none.fl_str_mv |
Lineability Spaceability Algebrability Zero set MATEMATICA APLICADA |
| topic |
Lineability Spaceability Algebrability Zero set MATEMATICA APLICADA |
| description |
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably 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 |
| dc.type.none.fl_str_mv |
journal article http://purl.org/coar/resource_type/c_6501 VoR http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
| format |
article |
| dc.identifier.none.fl_str_mv |
https://riunet.upv.es/handle/10251/64844 |
| url |
https://riunet.upv.es/handle/10251/64844 |
| dc.language.none.fl_str_mv |
Inglés eng |
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Inglés |
| language |
eng |
| dc.relation.none.fl_str_mv |
Universitat Politècnica de València https://doi.org/10.13039/501100004233 SP20120700 Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brasil https://doi.org/10.13039/501100003593 401735%2F2013-3 Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-47093-P HIPERCICLICIDAD Y CAOS DE OPERADORES Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-14909 HIPERCICLICIDAD Y CAOS DE OPERADORES Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2012-34341 ANALISIS FUNCIONAL NO LINEAL Y GEOMETRICO |
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open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 Reserva de todos los derechos http://rightsstatements.org/vocab/InC/1.0/ |
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openAccess |
| dc.format.none.fl_str_mv |
application/pdf application/pdf |
| dc.publisher.none.fl_str_mv |
Belgian Mathematical Society |
| publisher.none.fl_str_mv |
Belgian Mathematical Society |
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reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname:Universitat Politècnica de València (UPV) |
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Universitat Politècnica de València (UPV) |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
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