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The algebraic size of the family of injective operators

dc.creatorBernal González, Luises
dc.date.accessioned2017-02-08T08:43:26Z
dc.date.available2017-02-08T08:43:26Z
dc.date.issued2017-01
dc.identifier.citationBernal González, L. (2017). The algebraic size of the family of injective operators. Open Mathematics, 15 (1), 13-20.
dc.identifier.issn2391-5455es
dc.identifier.urihttp://hdl.handle.net/11441/53801
dc.description.abstractIn 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.sponsorshipPlan Andaluz de Investigación (Junta de Andalucía)es
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherDe Gruyter Openes
dc.relation.ispartofOpen Mathematics, 15 (1), 13-20.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectOne-to-one operatores
dc.subjectPoint spectrumes
dc.subjectAlgebrabilityes
dc.subjectHypercyclic operatores
dc.titleThe algebraic size of the family of injective operatorses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
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.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2015-65242-C2-1-Pes
dc.relation.publisherversionhttps://www.degruyter.com/downloadpdf/j/math.2017.15.issue-1/math-2017-0005/math-2017-0005.pdfes
dc.identifier.doi10.1515/math-2017-0005es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent8 p.es
dc.journaltitleOpen Mathematicses
dc.publication.volumen15es
dc.publication.issue1es
dc.publication.initialPage13es
dc.publication.endPage20es
dc.contributor.funderJunta de Andalucía
dc.contributor.funderMinisterio de Economía y Competitividad (MINECO). España

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