Sectoriality and essential spectrum of non symmetric graph Laplacians

Published 5 Jan 2018 in math.SP | (1801.01661v1)

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.

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