Self-adjointness of perturbed bi-Laplacians on infinite graphs
Functional Analysis
2020-10-01 v2 Spectral Theory
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.
Keywords
Cite
@article{arxiv.1904.02224,
title = {Self-adjointness of perturbed bi-Laplacians on infinite graphs},
author = {Ognjen Milatovic},
journal= {arXiv preprint arXiv:1904.02224},
year = {2020}
}
Comments
We edited the introduction and updated the bibliographical information for some references. We moved the examples towards the front of the article