Bulletin of the
Korean Mathematical Society BKMS

We consider bilateral operator weighted shift $T$ on $\mathbf{L}^2(\mathcal{K})$ with weight sequence $\{A_n\}_{n=-\infty}^\infty$ of positive invertible diagonal operators on $\mathcal{K}$. We give a characterization for $T$ to be hypercyclic, and show that the conditions are far simplified in case $T$ is invertible.

Keywords: operator weighted shift, hypercyclic operator

MSC numbers: 47B37 47A16