If let be the Toeplitz operator on the Bergman space of the unit disk . For a -algebra let denote the closed operator algebra generated by . We characterize its commutator ideal and the quotient for a wide class of algebras . Also, for integer, we define the -Berezin transform of a bounded operator , and prove that if and then .
Cite this article
Daniel Suárez, Approximation and symbolic calculus for Toeplitz algebras on the Bergman space. Rev. Mat. Iberoam. 20 (2004), no. 2, pp. 563–610DOI 10.4171/RMI/401