Toeplitz kernels and model spaces

M. Cristina Câmara, Jonathan R. Partington

Published 2017-11-13Version 1

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.