Self-adjointness of perturbed bi-Laplacians on infinite graphs
Document Type
Article
Publication Date
4-1-2021
Abstract
We give a sufficient condition for the essential self-adjointness of a perturbation of the square of the magnetic Laplacian on an infinite weighted graph. The main result is applicable to graphs whose degree function is not necessarily bounded. The result allows perturbations that are not necessarily bounded from below by a constant.
Publication Title
Indagationes Mathematicae
Volume
32
Issue
2
First Page
442
Last Page
455
Digital Object Identifier (DOI)
10.1016/j.indag.2020.12.003
ISSN
00193577
Citation Information
Milatovic, O. (2021) Self-adjointness of perturbed bi-Laplacians on infinite graphs. Indagationes Mathematicae, 32(2), 442-455. DOI: 10.1016/j.indag.2020.12.003