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).
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03794024_v51_n1_p105_Suarez |
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todo:paper_03794024_v51_n1_p105_Suarez2023-10-03T15:33:24Z The Toeplitz algebra on the Bergman space coincides with its commutator ideal Suárez, D. 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). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Suárez, D. 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). |
| format |
JOUR |
| author |
Suárez, D. |
| author_facet |
Suárez, D. |
| author_sort |
Suárez, D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_03794024_v51_n1_p105_Suarez |
| work_keys_str_mv |
AT suarezd thetoeplitzalgebraonthebergmanspacecoincideswithitscommutatorideal AT suarezd toeplitzalgebraonthebergmanspacecoincideswithitscommutatorideal |
| _version_ |
1782030520006213632 |