Date of Award
Doctor of Philosophy (PhD)
Chair and Committee
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.
Sedlock, Nicholas, "Properties of truncated Toeplitz operators" (2010). All Theses and Dissertations (ETDs). 317.