info:eu-repo/semantics/article
The Toeplitz algebra on the Bergman space coincides with its commutator ideal
Fecha
2004-12Registro en:
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
Autor
Suarez, Fernando Daniel
Resumen
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).