The adjacency matrix and the discrete Laplacian acting on forms
Spectral Theory
2015-05-25 v1 Functional Analysis
Abstract
We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint. We discuss the question of essential self-adjointness and the notion of completeness.
Cite
@article{arxiv.1505.06109,
title = {The adjacency matrix and the discrete Laplacian acting on forms},
author = {Hatem Baloudi and Sylvain Golenia and Aref Jeribi},
journal= {arXiv preprint arXiv:1505.06109},
year = {2015}
}