SECTORIALITY AND ESSENTIAL SPECTRUM OF NON SYMMETRIC GRAPH LAPLACIANS - Fédération de recherche Mathématiques des Pays de Loire
Article Dans Une Revue Complex Analysis and Operator Theory Année : 2018

SECTORIALITY AND ESSENTIAL SPECTRUM OF NON SYMMETRIC GRAPH LAPLACIANS

Résumé

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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Dates et versions

hal-01671142 , version 1 (04-01-2018)

Identifiants

Citer

Colette Anné, Marwa Balti, Nabila Torki-Hamza. SECTORIALITY AND ESSENTIAL SPECTRUM OF NON SYMMETRIC GRAPH LAPLACIANS. Complex Analysis and Operator Theory, 2018, 13 (3), pp.967-983. ⟨10.1007/s11785-018-0817-2⟩. ⟨hal-01671142⟩
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