Sectoriality and essential spectrum of non symmetric graph Laplacians
Spectral Theory
2018-01-08 v1
Abstract
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We give necessary conditions for this Laplacian to be sectorial. We introduce a special self-adjoint operator and compare its essential spectrum with that of the non self-adjoint Laplacian considered.
Keywords
Cite
@article{arxiv.1801.01661,
title = {Sectoriality and essential spectrum of non symmetric graph Laplacians},
author = {Colette Anné and Marwa Balti and Nabila Torki-Hamza},
journal= {arXiv preprint arXiv:1801.01661},
year = {2018}
}