Holomorphic operators generating dense images

The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed. Necessary and sufficient conditions for T to have the latter property...

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Autores: Bernal González, Luis, Calderón Moreno, María del Carmen, Prado Bassas, José Antonio
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2008
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/45726
Acesso em linha:http://hdl.handle.net/11441/45726
https://doi.org/10.1007/s00020-007-1547-4
Access Level:acceso abierto
Palavra-chave:Dense images
Infinite dimensional closed linear spaces
Non-relatively compact subsets
Residual sets
Differential operators
Composition operators
Multiplication operators
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spelling Holomorphic operators generating dense imagesBernal González, LuisCalderón Moreno, María del CarmenPrado Bassas, José AntonioDense imagesInfinite dimensional closed linear spacesNon-relatively compact subsetsResidual setsDifferential operatorsComposition operatorsMultiplication operatorsThe existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed. Necessary and sufficient conditions for T to have the latter property are provided and applied to obtain a number of concrete examples: infinite order differential operators, composition operators and multiplication operators, among others.Key words and phrases: dense images, infinite dimensional closed linear spaces, non-relatively compact subsets, residual sets, differential operators, composition operators, multiplication operators.Plan Andaluz de Investigación (Junta de Andalucía)Dirección General de Enseñanza SuperiorSpringerAnálisis MatemáticoFQM127: Análisis Funcional no LinealJunta de AndalucíaDirección General de Enseñanza Superior. España2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/45726https://doi.org/10.1007/s00020-007-1547-4reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésIntegral Equations and Operator Theory, 60 (1), 1-11.FQM-127BFM2003-03893-C02-01MTM2004- 21420-Ehttp://download.springer.com/static/pdf/287/art%253A10.1007%252Fs00020-007-1547-4.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00020-007-1547-4&token2=exp=1474961809~acl=%2Fstatic%2Fpdf%2F287%2Fart%25253A10.1007%25252Fs00020-007-1547-4.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00020-007-1547-4*~hmac=a129cc0bbd32a0446c458c08158b01f18f7cf0754fa8b5f069512b7ab762a22finfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/457262026-06-17T12:51:07Z
dc.title.none.fl_str_mv Holomorphic operators generating dense images
title Holomorphic operators generating dense images
spellingShingle Holomorphic operators generating dense images
Bernal González, Luis
Dense images
Infinite dimensional closed linear spaces
Non-relatively compact subsets
Residual sets
Differential operators
Composition operators
Multiplication operators
title_short Holomorphic operators generating dense images
title_full Holomorphic operators generating dense images
title_fullStr Holomorphic operators generating dense images
title_full_unstemmed Holomorphic operators generating dense images
title_sort Holomorphic operators generating dense images
dc.creator.none.fl_str_mv Bernal González, Luis
Calderón Moreno, María del Carmen
Prado Bassas, José Antonio
author Bernal González, Luis
author_facet Bernal González, Luis
Calderón Moreno, María del Carmen
Prado Bassas, José Antonio
author_role author
author2 Calderón Moreno, María del Carmen
Prado Bassas, José Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
Junta de Andalucía
Dirección General de Enseñanza Superior. España
dc.subject.none.fl_str_mv Dense images
Infinite dimensional closed linear spaces
Non-relatively compact subsets
Residual sets
Differential operators
Composition operators
Multiplication operators
topic Dense images
Infinite dimensional closed linear spaces
Non-relatively compact subsets
Residual sets
Differential operators
Composition operators
Multiplication operators
description The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed. Necessary and sufficient conditions for T to have the latter property are provided and applied to obtain a number of concrete examples: infinite order differential operators, composition operators and multiplication operators, among others.Key words and phrases: dense images, infinite dimensional closed linear spaces, non-relatively compact subsets, residual sets, differential operators, composition operators, multiplication operators.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/45726
https://doi.org/10.1007/s00020-007-1547-4
url http://hdl.handle.net/11441/45726
https://doi.org/10.1007/s00020-007-1547-4
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Integral Equations and Operator Theory, 60 (1), 1-11.
FQM-127
BFM2003-03893-C02-01
MTM2004- 21420-E
http://download.springer.com/static/pdf/287/art%253A10.1007%252Fs00020-007-1547-4.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00020-007-1547-4&token2=exp=1474961809~acl=%2Fstatic%2Fpdf%2F287%2Fart%25253A10.1007%25252Fs00020-007-1547-4.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00020-007-1547-4*~hmac=a129cc0bbd32a0446c458c08158b01f18f7cf0754fa8b5f069512b7ab762a22f
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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