Wold-type decomposition for left-invertible weighted shifts on a rootless directed tree

Sameer Chavan, Shailesh Trivedi

Let $S_{\lambdab}$ be a bounded left-invertible weighted shift on a rootless directed tree $\mathcal{T}=(V,\mathcal{E}).$ We address the question of when $S_{\lambdab}$ has Wold-typ…