Approximation and the n-Berezin transform of operators on the Bergman space

Autores
Suarez, Fernando Daniel
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S ) ∈ L∞(D), where n ≧ 0, and prove that the Toeplitz operators article image tend to S for some especial classes of operators S. In particular, this holds for every radial operator in the Toeplitz algebra. Finally, we show that the inclusion of the Toeplitz algebra into the essential commutant of the Bergman shift is proper.
Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universitat Autònoma de Barcelona; España
Materia
BERGMAN SPACE
TOEPLITZ OPERATORS
BEREZIN TRANSFORMS
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:11336/108528
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Approximation and the n-Berezin transform of operators on the Bergman spaceSuarez, Fernando DanielBERGMAN SPACETOEPLITZ OPERATORSBEREZIN TRANSFORMShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S ) ∈ L∞(D), where n ≧ 0, and prove that the Toeplitz operators article image tend to S for some especial classes of operators S. In particular, this holds for every radial operator in the Toeplitz algebra. Finally, we show that the inclusion of the Toeplitz algebra into the essential commutant of the Bergman shift is proper.Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universitat Autònoma de Barcelona; EspañaDe Gruyter2005-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/108528Suarez, Fernando Daniel; Approximation and the n-Berezin transform of operators on the Bergman space; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2005; 581; 7-2005; 175-1920075-41021435-5345CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/journals/crll/2005/581/article-p175.xmlinfo:eu-repo/semantics/altIdentifier/doi/10.1515/crll.2005.2005.581.175info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:45:00Zoai:ri.conicet.gov.ar:11336/108528instacron: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 10:45:00.836CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Approximation and the n-Berezin transform of operators on the Bergman space
title Approximation and the n-Berezin transform of operators on the Bergman space
spellingShingle Approximation and the n-Berezin transform of operators on the Bergman space
Suarez, Fernando Daniel
BERGMAN SPACE
TOEPLITZ OPERATORS
BEREZIN TRANSFORMS
title_short Approximation and the n-Berezin transform of operators on the Bergman space
title_full Approximation and the n-Berezin transform of operators on the Bergman space
title_fullStr Approximation and the n-Berezin transform of operators on the Bergman space
title_full_unstemmed Approximation and the n-Berezin transform of operators on the Bergman space
title_sort Approximation and the n-Berezin transform of operators on the Bergman space
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 BERGMAN SPACE
TOEPLITZ OPERATORS
BEREZIN TRANSFORMS
topic BERGMAN SPACE
TOEPLITZ OPERATORS
BEREZIN TRANSFORMS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S ) ∈ L∞(D), where n ≧ 0, and prove that the Toeplitz operators article image tend to S for some especial classes of operators S. In particular, this holds for every radial operator in the Toeplitz algebra. Finally, we show that the inclusion of the Toeplitz algebra into the essential commutant of the Bergman shift is proper.
Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universitat Autònoma de Barcelona; España
description To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S ) ∈ L∞(D), where n ≧ 0, and prove that the Toeplitz operators article image tend to S for some especial classes of operators S. In particular, this holds for every radial operator in the Toeplitz algebra. Finally, we show that the inclusion of the Toeplitz algebra into the essential commutant of the Bergman shift is proper.
publishDate 2005
dc.date.none.fl_str_mv 2005-07
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/11336/108528
Suarez, Fernando Daniel; Approximation and the n-Berezin transform of operators on the Bergman space; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2005; 581; 7-2005; 175-192
0075-4102
1435-5345
CONICET Digital
CONICET
url http://hdl.handle.net/11336/108528
identifier_str_mv Suarez, Fernando Daniel; Approximation and the n-Berezin transform of operators on the Bergman space; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2005; 581; 7-2005; 175-192
0075-4102
1435-5345
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.degruyter.com/view/journals/crll/2005/581/article-p175.xml
info:eu-repo/semantics/altIdentifier/doi/10.1515/crll.2005.2005.581.175
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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_ 1844614488581472256
score 13.070432

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