dc.creator | Bernal González, Luis | es |
dc.creator | Calderón Moreno, María del Carmen | es |
dc.date.accessioned | 2019-06-19T10:20:53Z | |
dc.date.available | 2019-06-19T10:20:53Z | |
dc.date.issued | 2002-12 | |
dc.identifier.citation | Bernal González, L. y Calderón Moreno, M.d.C. (2002). Dense linear manifolds of monsters. Journal of Approximation Theory, 119 (2), 156-180. | |
dc.identifier.issn | 0021-9045 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87526 | |
dc.description.abstract | In this paper the new concept of totally omnipresent operators is introduced. These
operators act on the space of holomorphic functions of a domain in the complex plane.
The concept is more restrictive than that of strongly omnipresent operators, also introduced by the authors in an earlier work, and both of them are related to the existence
of functions whose images under such operators exhibit an extremely wild behaviour
near the boundary. Sufficient conditions for an operator to be totally omnipresent as
well as several outstanding examples are provided. After extending a statement of the
first author about the existence of large linear manifolds of hypercyclic vectors for a
sequence of suitable continuous linear mappings, it is shown that there is a dense linear manifold of holomorphic monsters in the sense of Luh, so completing earlier nice results
due to Luh and Grosse-Erdmann. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior (DGES). España | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Approximation Theory, 119 (2), 156-180. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Holomorphic monster | es |
dc.subject | T-monster | es |
dc.subject | Strongly omnipresent operator | es |
dc.subject | Totally omnipresent operator | es |
dc.subject | Dense linear manifold | es |
dc.subject | Hypercyclic sequence | es |
dc.subject | Composition operator | es |
dc.subject | Infinite order linear differential operator | es |
dc.subject | Integral operator | es |
dc.title | Dense linear manifolds of monsters | 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 | PB96-1348 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0021904502937123?token=BC58D49356D317AFFF272EBBEE1A440B333399124B270C72B2A5EDCBFA588A6D1DE758FAC789884C06C4837954AA345D | es |
dc.identifier.doi | 10.1006/jath.2002.3712 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 27 p. | es |
dc.journaltitle | Journal of Approximation Theory | es |
dc.publication.volumen | 119 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 156 | es |
dc.publication.endPage | 180 | es |