- Series
- Analysis Seminar
- Time
- Wednesday, October 3, 2012 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Katie Quertermous – James Madison University
- Organizer
- Brett Wick
In this talk, we investigate the structures of C*-algebras generated by
collections of linear-fractionally-induced composition operators and
either the forward shift or the ideal of compact operators. In the
setting of the classical Hardy space, we present a full characterization
of the structures, modulo the ideal of compact operators, of
C*-algebras generated by a single linear-fractionally-induced
composition operator and the forward shift. We apply the structure
results to compute spectral information for algebraic combinations of
composition operators. We also discuss related results for C*-algebras
of operators on the weighted Bergman spaces.