2 papers
math.FA2025
Bounded Toeplitz Products on the Hardy Space
Ryan O'Loughlin
A Toeplitz operator on the Hardy space of the unit circle is bounded if and only if its symbol is bounded. For two Toeplitz operators, there are no known function-theoretic conditi…
math.FA2024
Szegő Limit Theorem for Truncated Toeplitz Operators
Nazar Miheisi, Ryan O'Loughlin
We discuss generalizations of the Szegő Limit Theorem to truncated Toeplitz operators. In particular, we consider compressions of Toeplitz operators to an increasing sequence of fi…