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.
Document Type
Book Chapter
Publication Date
2014
Publisher Statement
Copyright © 2012 Springer. This book chapter first appeared in Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation: 22nd International Workshop in Operator Theory and its Applications Sevilla, July 2011.
The definitive version is available at: http://link.springer.com/book/10.1007%2F978-3-0348-0648-0
Full Citation:
Ross, William T., Stephan Ramon Garcia, and Warren R. Wogen. "C*-Algebras Generated by Truncated Toeplitz Operators." In Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation: 22nd International Workshop in Operator Theory and Its Applications, Sevilla, July 2011, edited by Manuel Cepedello Boiso, Haakan Hedenmalm, M. A. Kaashoek, Alfonso Montes-Rodríguez, and Sergei Treil, 181-92. United States: Springer Basel, 2014.
Recommended Citation
Ross, William T.; Garcia, Stephan Ramon; and Wogen, Warren R., "C*-Algebras Generated by Truncated Toeplitz Operators" (2014). Department of Math & Statistics Faculty Publications. 8.
https://scholarship.richmond.edu/mathcs-faculty-publications/8