Infinite dimensional holomorphic non-extendability and algebraic genericity

In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we prove that He(G) contains, except for zero, a closed (and a dense) vector space...

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Detalles Bibliográficos
Autores: Bernal González, Luis, Calderón Moreno, María del Carmen, Seoane Sepúlveda, Juan Benigno
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87516
Acceso en línea:https://hdl.handle.net/11441/87516
https://doi.org/10.1016/j.laa.2016.10.008
Access Level:acceso abierto
Palabra clave:Lineability, maximal spaceability
Maximal algebrability
Non-continuable holomorphic functions
Domain of existence
Balanced domain
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spelling Infinite dimensional holomorphic non-extendability and algebraic genericityBernal González, LuisCalderón Moreno, María del CarmenSeoane Sepúlveda, Juan BenignoLineability, maximal spaceabilityMaximal algebrabilityNon-continuable holomorphic functionsDomain of existenceBalanced domainIn this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we prove that He(G) contains, except for zero, a closed (and a dense) vector space having maximal dimension, as well as a maximally generated free algebra. The results obtained complete a number of previous ones by several authors.Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Economía y Competitividad (MINECO). EspañaElsevierAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/87516https://doi.org/10.1016/j.laa.2016.10.008reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésLinear Algebra and its Applications, 513, 149-159.FQM-127P08-FQM-03543MTM2015-65242-C2-1-PMTM2015-65825-Phttps://reader.elsevier.com/reader/sd/pii/S0024379516304815?token=73129F1975501DB1E0B4EDC63E0EDFC896F41E205586481DB7ACD1BB73A59F19C1F56DFD1D5C603EF50CEF496471D9D3info:eu-repo/semantics/openAccessoai:idus.us.es:11441/875162026-06-17T12:51:07Z
dc.title.none.fl_str_mv Infinite dimensional holomorphic non-extendability and algebraic genericity
title Infinite dimensional holomorphic non-extendability and algebraic genericity
spellingShingle Infinite dimensional holomorphic non-extendability and algebraic genericity
Bernal González, Luis
Lineability, maximal spaceability
Maximal algebrability
Non-continuable holomorphic functions
Domain of existence
Balanced domain
title_short Infinite dimensional holomorphic non-extendability and algebraic genericity
title_full Infinite dimensional holomorphic non-extendability and algebraic genericity
title_fullStr Infinite dimensional holomorphic non-extendability and algebraic genericity
title_full_unstemmed Infinite dimensional holomorphic non-extendability and algebraic genericity
title_sort Infinite dimensional holomorphic non-extendability and algebraic genericity
dc.creator.none.fl_str_mv Bernal González, Luis
Calderón Moreno, María del Carmen
Seoane Sepúlveda, Juan Benigno
author Bernal González, Luis
author_facet Bernal González, Luis
Calderón Moreno, María del Carmen
Seoane Sepúlveda, Juan Benigno
author_role author
author2 Calderón Moreno, María del Carmen
Seoane Sepúlveda, Juan Benigno
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Lineability, maximal spaceability
Maximal algebrability
Non-continuable holomorphic functions
Domain of existence
Balanced domain
topic Lineability, maximal spaceability
Maximal algebrability
Non-continuable holomorphic functions
Domain of existence
Balanced domain
description In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we prove that He(G) contains, except for zero, a closed (and a dense) vector space having maximal dimension, as well as a maximally generated free algebra. The results obtained complete a number of previous ones by several authors.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/87516
https://doi.org/10.1016/j.laa.2016.10.008
url https://hdl.handle.net/11441/87516
https://doi.org/10.1016/j.laa.2016.10.008
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Linear Algebra and its Applications, 513, 149-159.
FQM-127
P08-FQM-03543
MTM2015-65242-C2-1-P
MTM2015-65825-P
https://reader.elsevier.com/reader/sd/pii/S0024379516304815?token=73129F1975501DB1E0B4EDC63E0EDFC896F41E205586481DB7ACD1BB73A59F19C1F56DFD1D5C603EF50CEF496471D9D3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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