Algebras of truncated Toeplitz operators
arXiv:1011.3425
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.
20 pages, one minor correction made 11/18/10 to the proof of Prop. 6.1 (1)