Multiplication operators on weighted Banach spaces of a tree
Functional Analysis
2022-07-27 v4
Abstract
We study multiplication 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. In addition, we determine the spectrum of the bounded multiplication operators and characterize the isometries. Finally, we study the multiplication operators between the weighted Banach spaces and the Lipschitz space by characterizing the bounded and the compact operators, determine estimates on the operator norm, and show there are no isometries.
Keywords
Cite
@article{arxiv.1511.07914,
title = {Multiplication operators on weighted Banach spaces of a tree},
author = {Robert F. Allen and Isaac Sundberg},
journal= {arXiv preprint arXiv:1511.07914},
year = {2022}
}
Comments
Second author published under Isaac M. Craig