Toeplitz operators on $\mathcal L^p$-spaces of a tree
Functional Analysis
2023-01-23 v1
Abstract
Let be a rooted, countable infinite tree without terminal vertices. In the present paper, we characterize the spectra, self-adjointness and positivity of Toeplitz operators on the spaces of -summable functions on . Moreover, we obtain a necessary and sufficient condition for Toeplitz operators to have finite rank on such function spaces.
Cite
@article{arxiv.2301.08370,
title = {Toeplitz operators on $\mathcal L^p$-spaces of a tree},
author = {Mingmei Huang and Xiaoyan Zhang and Xianfeng Zhao},
journal= {arXiv preprint arXiv:2301.08370},
year = {2023}
}