Toeplitz operators on $\mathcal L^p$-spaces of a tree

Autor:	Huang, Mingmei, Zhang, Xiaoyan, Zhao, Xianfeng
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	Let $T$ 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 $p$-summable functions on $T$. Moreover, we obtain a necessary and sufficient condition for Toeplitz operators to have finite rank on such function spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.08370 Zobrazit plný text záznamu View this record from Arxiv