Composition operators on weighted Banach spaces of a tree
Robert F. Allen, Matthew A. Pons
TL;DR
This paper investigates the properties of composition operators on weighted Banach spaces over infinite trees, providing characterizations of boundedness, compactness, and isometric conditions, along with norm calculations.
Contribution
It offers new characterizations and norm estimates for composition operators on weighted Banach spaces of infinite trees, including isometric cases.
Findings
Characterization of bounded composition operators
Criteria for compactness of operators
Determination of operator and essential norms
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.
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