Composition operators on weighted Banach spaces of a tree

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.

References in corpus (2)

• Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree
• Discrete Analogue of Generalized Hardy Spaces and Multiplication Operators on Homogenous Trees

Cited by in corpus (4)

• Hypercyclicity of composition operators on discrete weighted Banach spaces
• Multiplication operators between iterated logarithmic Lipschitz spaces of a tree
• The differentiation operator on discrete function spaces of a tree
• Composition operators on Hardy spaces of the homogenous rooted trees