On unitary equivalence and reducing subspaces of analytic Toeplitz operator on vector-valued Hardy space

Cui Chen, Yucheng Li, Ya Wang

In this paper, we proved that $T_{z^n}$ acting on the ${\mathbb{C}}^m$-valued Hardy space $H_{{\mathbb{C}}^m}^2(\mathbb{D})$, is unitarily equivalent to ${⨁}_1^{mn}{T}_z$, where $T…