On a relationship between orthogonal projections and Toeplitz operators on poly-Bergman spaces of the upper half-plane: vertical symbols

Maribel Loaiza, Miguel Antonio Morales-Ramos, María del Rosario Ramírez-Mora +1

In the context of studying $C^{\ast }$-algebras generated by Toeplitz operators acting on the poly-Bergman space ${\mathcal{A}}_n^2(\hat{I})$ of the upper half-plane $\hat{I}$, we introduce a syst…