On the structure of the \(C^{*}\)-algebra generated by Toeplitz operators with piece-wise continuous symbols. (English) Zbl 1186.47023
Authors’ summary: We study the \(C^{*}\)-algebra generated by Toeplitz operators with piecewise continuous symbols acting on the Bergman space \({\mathcal{A}}^2({\mathbb{D}})\) on the unit disk \({\mathbb{D}}\) in \({\mathbb{C}}\). We describe explicitly each operator from this algebra and characterize Toeplitz operators which belong to the algebra.
Reviewer: Željko Čučković (Toledo)
MSC:
47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |
47C15 | Linear operators in \(C^*\)- or von Neumann algebras |
47L80 | Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) |