Algebras of functions with prescribed radii of boundedness and the spectra of H(u)

Autores
García, Domingo; Maestre, Manuel; Zalduendo, Ignacio Martin
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the spectra of algebras of holomorphic functions with prescribed radii of boundedness, and use these results to study the τω and τδ spectra of H(U), where U is an open subset of a non-separable Banach space. We construct τδ continuous characters on H(U) which are not evaluations at points of U. We also discuss subsets of ℓ∞ which are bounding for H(U), U⊂ℓ∞.
Fil: García, Domingo. Universidad de Valencia; España
Fil: Maestre, Manuel. Universidad de Valencia; España
Fil: Zalduendo, Ignacio Martin. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
BANACH SPACE
HOLOMORPHIC FUNCTION
SPECTRUM
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/194544
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/194544
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Algebras of functions with prescribed radii of boundedness and the spectra of H(u)García, DomingoMaestre, ManuelZalduendo, Ignacio MartinBANACH SPACEHOLOMORPHIC FUNCTIONSPECTRUMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the spectra of algebras of holomorphic functions with prescribed radii of boundedness, and use these results to study the τω and τδ spectra of H(U), where U is an open subset of a non-separable Banach space. We construct τδ continuous characters on H(U) which are not evaluations at points of U. We also discuss subsets of ℓ∞ which are bounding for H(U), U⊂ℓ∞.Fil: García, Domingo. Universidad de Valencia; EspañaFil: Maestre, Manuel. Universidad de Valencia; EspañaFil: Zalduendo, Ignacio Martin. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSuomalainen Tiedeakatemia2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/194544García, Domingo; Maestre, Manuel; Zalduendo, Ignacio Martin; Algebras of functions with prescribed radii of boundedness and the spectra of H(u); Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 37; 1; 1-2012; 445-4601239-629X1798-2383CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.acadsci.fi/mathematica/Vol37/GarciaMaestreZalduendo.htmlinfo:eu-repo/semantics/altIdentifier/doi/10.5186/aasfm.2012.3727info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T11:08:29Zoai:ri.conicet.gov.ar:11336/194544instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-17 11:08:29.519CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
title Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
spellingShingle Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
García, Domingo
BANACH SPACE
HOLOMORPHIC FUNCTION
SPECTRUM
title_short Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
title_full Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
title_fullStr Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
title_full_unstemmed Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
title_sort Algebras of functions with prescribed radii of boundedness and the spectra of H(u)
dc.creator.none.fl_str_mv García, Domingo
Maestre, Manuel
Zalduendo, Ignacio Martin
author García, Domingo
author_facet García, Domingo
Maestre, Manuel
Zalduendo, Ignacio Martin
author_role author
author2 Maestre, Manuel
Zalduendo, Ignacio Martin
author2_role author
author
dc.subject.none.fl_str_mv BANACH SPACE
HOLOMORPHIC FUNCTION
SPECTRUM
topic BANACH SPACE
HOLOMORPHIC FUNCTION
SPECTRUM
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the spectra of algebras of holomorphic functions with prescribed radii of boundedness, and use these results to study the τω and τδ spectra of H(U), where U is an open subset of a non-separable Banach space. We construct τδ continuous characters on H(U) which are not evaluations at points of U. We also discuss subsets of ℓ∞ which are bounding for H(U), U⊂ℓ∞.
Fil: García, Domingo. Universidad de Valencia; España
Fil: Maestre, Manuel. Universidad de Valencia; España
Fil: Zalduendo, Ignacio Martin. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We study the spectra of algebras of holomorphic functions with prescribed radii of boundedness, and use these results to study the τω and τδ spectra of H(U), where U is an open subset of a non-separable Banach space. We construct τδ continuous characters on H(U) which are not evaluations at points of U. We also discuss subsets of ℓ∞ which are bounding for H(U), U⊂ℓ∞.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/194544
García, Domingo; Maestre, Manuel; Zalduendo, Ignacio Martin; Algebras of functions with prescribed radii of boundedness and the spectra of H(u); Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 37; 1; 1-2012; 445-460
1239-629X
1798-2383
CONICET Digital
CONICET
url http://hdl.handle.net/11336/194544
identifier_str_mv García, Domingo; Maestre, Manuel; Zalduendo, Ignacio Martin; Algebras of functions with prescribed radii of boundedness and the spectra of H(u); Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 37; 1; 1-2012; 445-460
1239-629X
1798-2383
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.acadsci.fi/mathematica/Vol37/GarciaMaestreZalduendo.html
info:eu-repo/semantics/altIdentifier/doi/10.5186/aasfm.2012.3727
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Suomalainen Tiedeakatemia
publisher.none.fl_str_mv Suomalainen Tiedeakatemia
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1843606411326521344
score 13.001348

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