Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs

Yves Colin de Verdière (1) , Nabila Torki-Hamza (1, 2) , Francoise Truc (1)

1 IF - Institut Fourier
2 05/UR/15-02 - Mathématiques et Applications

We consider weighted graphs, we equip them with a metric structure given by a weighted distance, and we discuss essential self-adjointness for weighted graph Laplacians and Schrödinger operators in the metrically non complete case.

Mots clés: essential selfadjointness; Metrically non complete graph; weighted graph Laplacian; Schrödinger operator; essential selfadjointness.

Domaines: Théorie spectrale [math.SP]

Yves Colin de Verdière, Nabila Torki-Hamza, Francoise Truc. Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs. 2010. ⟨hal-00496165v1⟩