Adán Ángeles-Romero, Rubén A. Martínez Avendaño
Published 2023-08-21Version 1
In this paper we initiate the study of the forward and backward shifts on the Hardy space of a tree and the little Hardy space of a tree. In particular, we investigate when these shifts are bounded, find the norm of the shifts if they are bounded, characterize the trees in which they are an isometry, compute the spectrum in some concrete examples, and completely determine when they are hypercyclic.
The forward and backward shift on the Lipschitz space of a tree
Hypercyclicity of Shifts on Weighted ${\mathbf L}^p$ Spaces of Directed Trees
Dynamics of tuples of matrices
![QR code for arXiv:2308.11016 [math.FA]](http://oss.arxitics.com/images/favicon.svg)