Norm of the Backward Shift on the Lipschitz Space of a Tree

Dynamics of Weighted Backward Shifts on the Little Lipschitzspace

“…At present, there are also some scholars studying shift operators on an infinite tree. For instance, in [10] and [12], the authors studied the norm of the backward shift on the Lipschitz space of a tree. In particular, in [10], the authors also discussed the spectral properties of the backward shift on the Lipschitz space of a tree and the hypercyclity of the backward shift on the little Lipschitz space of a tree, which is a separable subspace of the Lipschitz space.…”