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Infinite dimensional holomorphic non-extendability and algebraic genericity

dc.creatorBernal González, Luises
dc.creatorCalderón Moreno, María del Carmenes
dc.creatorSeoane Sepúlveda, Juan Benignoes
dc.date.accessioned2019-06-19T08:47:52Z
dc.date.available2019-06-19T08:47:52Z
dc.date.issued2017-01-15
dc.identifier.citationBernal González, L., Calderón Moreno, M.d.C. y Seoane Sepúlveda, J.B. (2017). Infinite dimensional holomorphic non-extendability and algebraic genericity. Linear Algebra and its Applications, 513, 149-159.
dc.identifier.issn0024-3795es
dc.identifier.urihttps://hdl.handle.net/11441/87516
dc.description.abstractIn 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.es
dc.description.sponsorshipPlan Andaluz de Investigación (Junta de Andalucía)es
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO). Españaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofLinear Algebra and its Applications, 513, 149-159.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectLineability, maximal spaceabilityes
dc.subjectMaximal algebrabilityes
dc.subjectNon-continuable holomorphic functionses
dc.subjectDomain of existencees
dc.subjectBalanced domaines
dc.titleInfinite dimensional holomorphic non-extendability and algebraic genericityes
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.projectIDFQM-127es
dc.relation.projectIDP08-FQM-03543es
dc.relation.projectIDMTM2015-65242-C2-1-Pes
dc.relation.projectIDMTM2015-65825-Pes
dc.relation.publisherversionhttps://reader.elsevier.com/reader/sd/pii/S0024379516304815?token=73129F1975501DB1E0B4EDC63E0EDFC896F41E205586481DB7ACD1BB73A59F19C1F56DFD1D5C603EF50CEF496471D9D3es
dc.identifier.doi10.1016/j.laa.2016.10.008es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent13 p.es
dc.journaltitleLinear Algebra and its Applicationses
dc.publication.volumen513es
dc.publication.initialPage149es
dc.publication.endPage159es

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