The Toeplitz algebra on the Bergman space coincides with its commutator ideal

Let La2 be the Bergman space of the unit disk and I-fraktur sign(La2) be the Banach algebra generated by Toeplitz operators Tf, with f ∈ L∞, We prove that the closed bilateral ideal of I-fraktur sign(La2) generated by operators of the form TfTg - T gTf coincides with I-fraktur sign(La 2).

Guardado en:
Detalles Bibliográficos
Publicado: 2004
Materias:
Bergman space
Commutator ideal
Toeplitz operators
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez
http://hdl.handle.net/20.500.12110/paper_03794024_v51_n1_p105_Suarez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03794024_v51_n1_p105_Suarez
record_format dspace
spelling paper:paper_03794024_v51_n1_p105_Suarez2023-06-08T15:40:36Z The Toeplitz algebra on the Bergman space coincides with its commutator ideal Bergman space Commutator ideal Toeplitz operators Let La2 be the Bergman space of the unit disk and I-fraktur sign(La2) be the Banach algebra generated by Toeplitz operators Tf, with f ∈ L∞, We prove that the closed bilateral ideal of I-fraktur sign(La2) generated by operators of the form TfTg - T gTf coincides with I-fraktur sign(La 2). 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez http://hdl.handle.net/20.500.12110/paper_03794024_v51_n1_p105_Suarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Bergman space
Commutator ideal
Toeplitz operators
spellingShingle Bergman space
Commutator ideal
Toeplitz operators
The Toeplitz algebra on the Bergman space coincides with its commutator ideal
topic_facet Bergman space
Commutator ideal
Toeplitz operators
description Let La2 be the Bergman space of the unit disk and I-fraktur sign(La2) be the Banach algebra generated by Toeplitz operators Tf, with f ∈ L∞, We prove that the closed bilateral ideal of I-fraktur sign(La2) generated by operators of the form TfTg - T gTf coincides with I-fraktur sign(La 2).
title The Toeplitz algebra on the Bergman space coincides with its commutator ideal
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 toeplitz algebra on the bergman space coincides with its commutator ideal
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez
http://hdl.handle.net/20.500.12110/paper_03794024_v51_n1_p105_Suarez
_version_ 1768544455778893824

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