Artículo
Suárez, D. "The Toeplitz algebra on the Bergman space coincides with its commutator ideal" (2004) Journal of Operator Theory. 51(1):105-114
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Abstract:
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).
Registro:
| Documento: | Artículo |
| Título: | The Toeplitz algebra on the Bergman space coincides with its commutator ideal |
| Autor: | Suárez, D. |
| Filiación: | Departamento de Matemática, Fac. de Cientas Exactas y Naturales, Ciudad Universitaria, (1428) Núñez, Cap. Fed., Argentina |
| Palabras clave: | Bergman space; Commutator ideal; Toeplitz operators |
| Año: | 2004 |
| Volumen: | 51 |
| Número: | 1 |
| Página de inicio: | 105 |
| Página de fin: | 114 |
| Título revista: | Journal of Operator Theory |
| Título revista abreviado: | J. Oper. Theory |
| ISSN: | 03794024 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez |
Referencias:
- Axler, S., Zheng, D., The berezin transform on the toeplitz algebra (1998) Studia Math., 127, pp. 113-136
- Coburn, L.A., Singular integral operators and toeplitz operators on odd spheres (1973) Indiana Univ. Math. J., 23, pp. 433-439
- Engliš, M., (1991) Toeplitz Operators on Bergman-type Spaces, , Ph.D. Dissertation, MU CSAV, Praha
- McDonald, G., Sundberg, G., Toeplitz operators on the disc (1979) Indiana Univ. Math. J., 28, pp. 595-611
- Nikolski, N.K., (1986) Treatise on the Shift Operator, , Springer-Verlag, Berlin-New York
- Zhu, K., (1990) Operator Theory in Function Spaces, , Marcel Dekker Inc., New York
Citas:
---------- APA ----------
(2004) . The Toeplitz algebra on the Bergman space coincides with its commutator ideal. Journal of Operator Theory, 51(1), 105-114.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez [ ]
---------- CHICAGO ----------
Suárez, D. "The Toeplitz algebra on the Bergman space coincides with its commutator ideal" . Journal of Operator Theory 51, no. 1 (2004) : 105-114.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez [ ]
---------- MLA ----------
Suárez, D. "The Toeplitz algebra on the Bergman space coincides with its commutator ideal" . Journal of Operator Theory, vol. 51, no. 1, 2004, pp. 105-114.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez [ ]
---------- VANCOUVER ----------
Suárez, D. The Toeplitz algebra on the Bergman space coincides with its commutator ideal. J. Oper. Theory. 2004;51(1):105-114.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03794024_v51_n1_p105_Suarez [ ]
