Abstract
We obtain an analogue of Coburn’s description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetric operators which are not unitarily equivalent to truncated Toeplitz operators having continuous symbols.
Mathematics Subject Classification (2010). 46Lxx, 47A05, 47B35, 47B99.
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Dedicated to the memory of William Arveson.
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Garcia, S.R., Ross, W.T., Wogen, W.R. (2014). C*-algebras Generated by Truncated Toeplitz Operators. In: Cepedello Boiso, M., Hedenmalm, H., Kaashoek, M., Montes Rodríguez, A., Treil, S. (eds) Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation. Operator Theory: Advances and Applications, vol 236. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0648-0_11
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DOI: https://doi.org/10.1007/978-3-0348-0648-0_11
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