The Toeplitz algebra on the Bergman space coincides with its commutator ideal
- Autores
- Suarez, Fernando Daniel
- Año de publicación
- 2004
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Let L^2-a be the Bergman space of the unit disk and T(L^2_a) be the Banach algebra generated by Toeplitz operators T_f , with f ∈ L∞. We prove that the closed bilateral ideal of T(L2a) generated by operators of the form T_fT_g − T_gT_f coincides with T(L^2_a).
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
-
COMMUTATOR IDEAL
TOEPLITZ OPERATORS
BERGMAN SPACE - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/109665
Ver los metadatos del registro completo
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The Toeplitz algebra on the Bergman space coincides with its commutator idealSuarez, Fernando DanielCOMMUTATOR IDEALTOEPLITZ OPERATORSBERGMAN SPACEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let L^2-a be the Bergman space of the unit disk and T(L^2_a) be the Banach algebra generated by Toeplitz operators T_f , with f ∈ L∞. We prove that the closed bilateral ideal of T(L2a) generated by operators of the form T_fT_g − T_gT_f coincides with T(L^2_a).Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaTheta Foundation2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/109665Suarez, Fernando Daniel; The Toeplitz algebra on the Bergman space coincides with its commutator ideal; Theta Foundation; Journal Of Operator Theory; 51; 1; 12-2004; 105-1140379-4024CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.mathjournals.org/jot/2004-051-001/2004-051-001-007.htmlinfo:eu-repo/semantics/altIdentifier/url/http://www.mathjournals.org/jot/2004-051-001/index.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:58:52Zoai:ri.conicet.gov.ar:11336/109665instacron: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:34982025-09-29 09:58:52.793CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| title |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| spellingShingle |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal Suarez, Fernando Daniel COMMUTATOR IDEAL TOEPLITZ OPERATORS BERGMAN SPACE |
| title_short |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| title_full |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| title_fullStr |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| title_full_unstemmed |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| title_sort |
The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| 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 |
COMMUTATOR IDEAL TOEPLITZ OPERATORS BERGMAN SPACE |
| topic |
COMMUTATOR IDEAL TOEPLITZ OPERATORS BERGMAN SPACE |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
Let L^2-a be the Bergman space of the unit disk and T(L^2_a) be the Banach algebra generated by Toeplitz operators T_f , with f ∈ L∞. We prove that the closed bilateral ideal of T(L2a) generated by operators of the form T_fT_g − T_gT_f coincides with T(L^2_a). 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 |
Let L^2-a be the Bergman space of the unit disk and T(L^2_a) be the Banach algebra generated by Toeplitz operators T_f , with f ∈ L∞. We prove that the closed bilateral ideal of T(L2a) generated by operators of the form T_fT_g − T_gT_f coincides with T(L^2_a). |
| publishDate |
2004 |
| dc.date.none.fl_str_mv |
2004-12 |
| 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/11336/109665 Suarez, Fernando Daniel; The Toeplitz algebra on the Bergman space coincides with its commutator ideal; Theta Foundation; Journal Of Operator Theory; 51; 1; 12-2004; 105-114 0379-4024 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/109665 |
| identifier_str_mv |
Suarez, Fernando Daniel; The Toeplitz algebra on the Bergman space coincides with its commutator ideal; Theta Foundation; Journal Of Operator Theory; 51; 1; 12-2004; 105-114 0379-4024 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/url/http://www.mathjournals.org/jot/2004-051-001/2004-051-001-007.html info:eu-repo/semantics/altIdentifier/url/http://www.mathjournals.org/jot/2004-051-001/index.html |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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Theta Foundation |
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Theta Foundation |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |