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.

中文翻译：

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一类截断 Toeplitz 算子的交换子的秩

我们考虑作用于无限维模型空间的截断 Toeplitz 算子。然后，我们用由某些内部函数诱导的符号来描述截断托普利兹算子的核和交换子的秩。我们的结果概括了 Chen 等人的最新结果。[Oper Matrices (to出现)]到无限维模型空间。