Schmidt subspaces of Hankel operators
We consider bounded Hankel operators $H_ψ$ acting on the Hardy space $H^2$ to $L^2\ominus H^2$ and obtain results on the Schmidt subspaces $E^+_s(H_ψ)$ of such operators defined as the kernels of $ H_ψ^{\ast}H_ψ-s^2I$ where $s>0$. These spaces have been recently studied in \cite{GP} and \cite{GP1} in the context of anti-linear Hankel operators. We also discuss the range of the Hankel operators with symbols being the complex conjugates of functions in the unit ball of $H^{\infty}$.
math.FA↗