4 problems

The unilateral frame number conjecture.

The $C_{\theta}$-real matrix representation conjecture. If $M$ is a complex symmetric matrix and is unitarily equivalent to a TTO, then there exist an inner function $u$ and a…

Let $I$ be an inner function, let $K_I^2$ denote the corresponding model space, and let a bounded symbol of a truncated Toeplitz operator mean a symbol in $L^\infty(\mathbb{T})$ re…

One-component characterization conjecture. The equivalent conditions of Theorem 3 are fulfilled if and only if $\theta$ is one-component.