Algebras of truncated Toeplitz operators
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1011.3425
- Bibcode:
- 2010arXiv1011.3425S
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Operator Algebras;
- 47L80
- E-Print:
- 20 pages, one minor correction made 11/18/10 to the proof of Prop. 6.1 (1)