Sectoriality and essential spectrum of non symmetric graph Laplacians

Autor:	Anné, Colette, Balti, Marwa, Torki-Hamza, Nabila
Rok vydání:	2018
Předmět:	Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.01661 Zobrazit plný text záznamu View this record from Arxiv