We study the backward shift operator on Hilbert spaces $\mathcal{H}_alpha$ (for α ≥ 0) which are norm equivalent to the Dirichlet-type spaces $D_alpha$. Although ...
We show that every unilateral weighted backward shift T on lp, where 1 ≤ p < ∞, has the factorization T = AB with two hypercyclic operators A and B, one of which is a unilateral weighted backward ...