dc.creator | Bernal González, Luis | es |
dc.creator | Calderón Moreno, María del Carmen | es |
dc.creator | Grosse-Erdmann, Karl-Goswin | es |
dc.date.accessioned | 2019-06-18T11:48:13Z | |
dc.date.available | 2019-06-18T11:48:13Z | |
dc.date.issued | 2002-06 | |
dc.identifier.citation | Bernal González, L., Calderón Moreno, M.d.C. y Grosse-Erdmann, K. (2002). Strongly omnipresent operators: general conditions and applications to composition operators. Journal of the Australian Mathematical Society, 72 (3), 335-348. | |
dc.identifier.issn | 1446-7887 | es |
dc.identifier.issn | 1446-8107 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87495 | |
dc.description.abstract | This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. An operator T on the space H(G) of holomorphic functions on a complex domain G is called strongly omnipresent whenever the set of T-monsters is residual in H(G), and a T-monster is a function f such that T f exhibits an extremely ‘wild’ behaviour near the boundary. We obtain sufficient conditions under which an operator is strongly omnipresent, in particular, we show that every onto linear operator is strongly omnipresent. Using these criteria we completely characterize strongly omnipresent composition and multiplication operators. | 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 | Cambridge University Press | es |
dc.relation.ispartof | Journal of the Australian Mathematical Society, 72 (3), 335-348. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Holomorphic function | es |
dc.subject | T-monster | es |
dc.subject | Residual set | es |
dc.subject | Strongly omnipresent operator | es |
dc.subject | Dense range | es |
dc.subject | Locally dense range | es |
dc.subject | Locally stable operator | es |
dc.subject | Composition operator | es |
dc.subject | Leftcomposition operator | es |
dc.subject | Multiplication operator | es |
dc.title | Strongly omnipresent operators: general conditions and applications to composition operators | 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 | PB96-1348 | es |
dc.identifier.doi | 10.1017/S1446788700036764 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Journal of the Australian Mathematical Society | es |
dc.publication.volumen | 72 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 335 | es |
dc.publication.endPage | 348 | es |