Commutation relations for truncated Toeplitz operators
Abstract
For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space $H^2$, we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.6739
- arXiv:
- arXiv:1305.6739
- Bibcode:
- 2013arXiv1305.6739C
- Keywords:
-
- Mathematics - Functional Analysis;
- 47B32;
- 47B35;
- 47B37