English

Toeplitz kernels and model spaces

Functional Analysis 2017-11-28 v2 Complex Variables

Abstract

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.

Keywords

Cite

@article{arxiv.1711.04511,
  title  = {Toeplitz kernels and model spaces},
  author = {M. Cristina Câmara and Jonathan R. Partington},
  journal= {arXiv preprint arXiv:1711.04511},
  year   = {2017}
}

Comments

20 pages, based on talk given at IWOTA 2017. This version incorporates some minor corrections

R2 v1 2026-06-22T22:43:58.683Z