Algebras of truncated Toeplitz operators
Functional Analysis
2010-11-19 v2 Operator Algebras
Abstract
We find necessary and sufficient conditions for the product of two truncated Toeplitz operators on a model space to itself be a truncated Toeplitz operator, and as a result find a characterization for the maximal algebras of bounded truncated Toeplitz operators.
Cite
@article{arxiv.1011.3425,
title = {Algebras of truncated Toeplitz operators},
author = {N. A. Sedlock},
journal= {arXiv preprint arXiv:1011.3425},
year = {2010}
}
Comments
20 pages, one minor correction made 11/18/10 to the proof of Prop. 6.1 (1)