Localisation techniques for division in Douglas algebras

Autores
Suarez, Fernando Daniel
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation property and we show that not every ideal in such algebras is local.
Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Materia
MATHEMATICAL THEOREMS
SUBALGEBRAS
INTERPOLATION
ANALYTIC FUNCTIONS
DIVISION
APPROXIMATION
ABSTRACT ALGEBRA
FACTORIZATION
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:11336/112337
Acceder
id CONICETDig_1d8851c1b93c139366f030b4dac6e704
oai_identifier_str oai:ri.conicet.gov.ar:11336/112337
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Localisation techniques for division in Douglas algebrasSuarez, Fernando DanielMATHEMATICAL THEOREMSSUBALGEBRASINTERPOLATIONANALYTIC FUNCTIONSDIVISIONAPPROXIMATIONABSTRACT ALGEBRAFACTORIZATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation property and we show that not every ideal in such algebras is local.Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaRoyal Irish Academy2001-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/112337Suarez, Fernando Daniel; Localisation techniques for division in Douglas algebras; Royal Irish Academy; Proceedings Of The Royal Irish Academy Section A-mathematical And Physical Sciences; 101; 1; 10-2001; 49-601393-7197CONICET DigitalCONICETenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:43:40Zoai:ri.conicet.gov.ar:11336/112337instacron: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:34982025-10-22 11:43:40.568CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Localisation techniques for division in Douglas algebras
title Localisation techniques for division in Douglas algebras
spellingShingle Localisation techniques for division in Douglas algebras
Suarez, Fernando Daniel
MATHEMATICAL THEOREMS
SUBALGEBRAS
INTERPOLATION
ANALYTIC FUNCTIONS
DIVISION
APPROXIMATION
ABSTRACT ALGEBRA
FACTORIZATION
title_short Localisation techniques for division in Douglas algebras
title_full Localisation techniques for division in Douglas algebras
title_fullStr Localisation techniques for division in Douglas algebras
title_full_unstemmed Localisation techniques for division in Douglas algebras
title_sort Localisation techniques for division in Douglas algebras
dc.creator.none.fl_str_mv Suarez, Fernando Daniel
author Suarez, Fernando Daniel
author_facet Suarez, Fernando Daniel
author_role author
dc.subject.none.fl_str_mv MATHEMATICAL THEOREMS
SUBALGEBRAS
INTERPOLATION
ANALYTIC FUNCTIONS
DIVISION
APPROXIMATION
ABSTRACT ALGEBRA
FACTORIZATION
topic MATHEMATICAL THEOREMS
SUBALGEBRAS
INTERPOLATION
ANALYTIC FUNCTIONS
DIVISION
APPROXIMATION
ABSTRACT ALGEBRA
FACTORIZATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation property and we show that not every ideal in such algebras is local.
Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
description In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation property and we show that not every ideal in such algebras is local.
publishDate 2001
dc.date.none.fl_str_mv 2001-10
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/11336/112337
Suarez, Fernando Daniel; Localisation techniques for division in Douglas algebras; Royal Irish Academy; Proceedings Of The Royal Irish Academy Section A-mathematical And Physical Sciences; 101; 1; 10-2001; 49-60
1393-7197
CONICET Digital
CONICET
url http://hdl.handle.net/11336/112337
identifier_str_mv Suarez, Fernando Daniel; Localisation techniques for division in Douglas algebras; Royal Irish Academy; Proceedings Of The Royal Irish Academy Section A-mathematical And Physical Sciences; 101; 1; 10-2001; 49-60
1393-7197
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
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 Royal Irish Academy
publisher.none.fl_str_mv Royal Irish Academy
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_ 1846782129344610304
score 12.982451

Publicaciones similares