dc.creator | Bernal González, Luis | es |
dc.creator | Pellegrino, Daniel M. | es |
dc.creator | Seoane Sepúlveda, Juan Benigno | es |
dc.date.accessioned | 2019-06-21T07:16:05Z | |
dc.date.available | 2019-06-21T07:16:05Z | |
dc.date.issued | 2014-01 | |
dc.identifier.citation | Bernal González, L., Pellegrino, D.M. y Seoane Sepúlveda, J.B. (2014). Linear subsets of nonlinear sets in topological vector spaces. Bulletin of the American Mathematical Society, 51 (1), 71-130. | |
dc.identifier.issn | 0273-0979 | es |
dc.identifier.issn | 1088-9485 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87534 | |
dc.description.abstract | For the last decade there has been a generalized trend in Mathematics on the search for large algebraic structures (linear spaces, closed subspaces, or infinitely generated algebras) composed of mathematical objects enjoying certain special properties. This trend has caught the eye of many researchers and has also had a remarkable influence in Real and Complex Analysis, Operator Theory, Summability Theory, Polynomials in Banach spaces, Hypercyclicity and Chaos, and general Functional Analysis. This expository paper is devoted to providing an account on the advances and on the state of the art of
this trend, nowadays known as lineability and spaceability. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.description.sponsorship | Instituto Nacional de Ciência e Tecnologia de Matemática (Brasil) | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico. Brasil | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Bulletin of the American Mathematical Society, 51 (1), 71-130. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lineability | es |
dc.subject | Spaceability | es |
dc.subject | Algebrability | es |
dc.subject | Real and complex analysis | es |
dc.subject | Special functions | es |
dc.subject | Operator theory | es |
dc.subject | Baire category theorem | es |
dc.subject | Hypercyclic manifolds | es |
dc.subject | Zeros of polynomials | es |
dc.title | Linear subsets of nonlinear sets in topological vector spaces | es |
dc.type | info:eu-repo/semantics/article | es |
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 | MTM2012-34847-C02-01 | es |
dc.relation.projectID | 301237/2009-3 | es |
dc.relation.projectID | 477124/2012-7 | es |
dc.relation.projectID | MTM2012-34341 | es |
dc.relation.publisherversion | http://www.ams.org/journals/bull/2014-51-01/S0273-0979-2013-01421-6/S0273-0979-2013-01421-6.pdf | es |
dc.identifier.doi | 10.1090/S0273-0979-2013-01421-6 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 61 p. | es |
dc.journaltitle | Bulletin of the American Mathematical Society | es |
dc.publication.volumen | 51 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 71 | es |
dc.publication.endPage | 130 | es |