We review some classical and more recent results concerning kernels of Toeplitz operators and their relations with model spaces, which are themselves Toeplitz kernels of a special kind. We highlight the fundamental role played by the existence of maximal vectors for every nontrivial Toeplitz kernel.
CITATION STYLE
Câamara, M. C., & Partington, J. R. (2018). Toeplitz kernels and model spaces. In Operator Theory: Advances and Applications (Vol. 268, pp. 139–153). Springer International Publishing. https://doi.org/10.1007/978-3-319-75996-8_7
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