dc.creator | Bernal González, Luis | es |
dc.creator | Bonilla Ramírez, Antonio Lorenzo | es |
dc.date.accessioned | 2019-06-21T07:58:07Z | |
dc.date.available | 2019-06-21T07:58:07Z | |
dc.date.issued | 2013-01 | |
dc.identifier.citation | Bernal González, L. y Bonilla Ramírez, A.L. (2013). Families of strongly annular functions: linear structure. Revista Matemática Complutense, 26 (1), 283-297. | |
dc.identifier.issn | 1139-1138 | es |
dc.identifier.issn | 1988-2807 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87539 | |
dc.description.abstract | A function f holomorphic in the unit disk D is called strongly annular if there exists a sequence of concentric circles in D expanding out to the unit circle such that f goes to infinity as |z| goes to 1 through these circles. The residuality of the family of strongly annular functions in the space of holomorphic functions on D is well known, and it is extended here to certain classes of functions. This important topological property is enriched in this paper by studying algebraic-topological properties of the mentioned family, in the modern setting of lineability. Namely, we prove that although this family is clearly nonlinear, it contains, except for the zero function, large vector subspaces as well as infinitely generated algebras. Similar results are obtained for strongly annular functions on the whole complex plane and for weighted Bergman spaces. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICIN). España | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología (MCYT). España | es |
dc.description.sponsorship | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista Matemática Complutense, 26 (1), 283-297. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Strongly annular functions | es |
dc.subject | Entire functions. | es |
dc.subject | Dense-lineability | es |
dc.subject | Algebrability | es |
dc.subject | Bergman spaces | es |
dc.title | Families of strongly annular functions: linear structure | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | MTM2009-10696-C02-01 | es |
dc.relation.projectID | MTM2008-02829-E | es |
dc.relation.projectID | MTM2008-05891 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs13163-011-0080-9.pdf | es |
dc.identifier.doi | 10.1007/s13163-011-0080-9 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 15 p. | es |
dc.journaltitle | Revista Matemática Complutense | es |
dc.publication.volumen | 26 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 283 | es |
dc.publication.endPage | 297 | es |