In this lecture we consider the bridge theory of truncated Toeplitz operators and truncated Hankel operators. We review the recent developments on bridge theory of general Toeplitz and general Hankel operators and explore the connection with truncated Toeplitz and truncated Hankel operators. Further we address open problems in the bridge theory of those operators.
- Bridge theory of general Toeplitz and general Hankel operators
- Bridge theory of truncated Toeplitz and truncated Hankel operators
- Open problems on the bridge theory of TTO and THO.