On unitary equivalence of invariant subspaces of the Dirichlet space
Volume 196 / 2010
Studia Mathematica 196 (2010), 143-150
MSC: Primary 47A15; Secondary 46E22.
DOI: 10.4064/sm196-2-3
Abstract
It is shown that in the Dirichlet space $\mathcal{D}$, two invariant subspaces $\mathcal{M}_1$, $\mathcal{M}_2$ of the Dirichlet shift $M_z$ are unitarily equivalent only if $\mathcal{M}_1=\mathcal{M}_2$.
