An Analytic Model for Left-Invertible Weighted Shifts on Directed Trees

Sameer Chavan, Shailesh Trivedi

Let $\mathcal{T}$ be a rooted directed tree with finite branching index $k_{\mathcal{T}}$ and let $S_{\lambda }\in B(l^2(V))$ be a left-invertible weighted shift on $\mathcal{T}$. We show t…