Author's Department/Program
Mathematics
Language
English (en)
Date of Award
January 2010
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Chair and Committee
Richard Rochberg
Abstract
We discuss the multiplication of truncated Toeplitz operators: or TTOs) on backward shift invariant subspaces of the Hardy space of the unit disc. Specifically we discuss when the product of two TTOs is itself a TTO, finding an equivalent to a similar result of Brown and Halmos for ordinary Toeplitz operators. This leads us to investigate the commutants of certain rank-one perturbations of the compressed shift operator, deriving a symbol calculus for TTOs, as well as several other results.
Recommended Citation
Sedlock, Nicholas, "Properties of truncated Toeplitz operators" (2010). All Theses and Dissertations (ETDs). 317.
https://openscholarship.wustl.edu/etd/317
Comments
Permanent URL: http://dx.doi.org/10.7936/K7N877W3