dc.creator | Bernal González, Luis | es |
dc.date.accessioned | 2017-02-08T08:43:26Z | |
dc.date.available | 2017-02-08T08:43:26Z | |
dc.date.issued | 2017-01 | |
dc.identifier.citation | Bernal González, L. (2017). The algebraic size of the family of injective operators. Open Mathematics, 15 (1), 13-20. | |
dc.identifier.issn | 2391-5455 | es |
dc.identifier.uri | http://hdl.handle.net/11441/53801 | |
dc.description.abstract | In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable
infinite dimensional Banach space supports a commutative infinitely generated free linear algebra of operators all of whose nonzero members are one-to-one. In certain cases, the assertion holds for nonseparable Banach spaces. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | De Gruyter Open | es |
dc.relation.ispartof | Open Mathematics, 15 (1), 13-20. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | One-to-one operator | es |
dc.subject | Point spectrum | es |
dc.subject | Algebrability | es |
dc.subject | Hypercyclic operator | es |
dc.title | The algebraic size of the family of injective operators | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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 | P08-FQM-03543 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2015-65242-C2-1-P | es |
dc.relation.publisherversion | https://www.degruyter.com/downloadpdf/j/math.2017.15.issue-1/math-2017-0005/math-2017-0005.pdf | es |
dc.identifier.doi | 10.1515/math-2017-0005 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 8 p. | es |
dc.journaltitle | Open Mathematics | es |
dc.publication.volumen | 15 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 13 | es |
dc.publication.endPage | 20 | es |
dc.contributor.funder | Junta de Andalucía | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |