English

Composition operators on weighted Banach spaces of a tree

Functional Analysis 2022-07-26 v2

Abstract

We study composition operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm and the essential norm. In addition, we study the isometric composition operators.

Keywords

Cite

@article{arxiv.2207.09001,
  title  = {Composition operators on weighted Banach spaces of a tree},
  author = {Robert F. Allen and Matthew A. Pons},
  journal= {arXiv preprint arXiv:2207.09001},
  year   = {2022}
}