Ranks of commutators for a class of truncated Toeplitz operators

We consider truncated Toeplitz operators acting on infinite dimensional model spaces. We then describe the kernels and ranks of commutators of truncated Toeplitz operators with symbols induced by certain inner functions. Our results generalize recent results of Chen et al. [Oper Matrices (to appear)] to infinite dimensional model spaces.

Automated summary

In this study, we examined truncated Toeplitz operators on infinite dimensional model spaces and their commutators with symbols induced by certain inner functions, describing their kernels and ranks. Our findings extend recent results by Chen et al. to infinite dimensional model spaces.