Essential Self-adjointness for Combinatorial Schrödinger Operators II-Metrically non Complete Graphs

Author: Colin de Verdière Yves  

Publisher: Springer Publishing Company

ISSN: 1385-0172

Source: Mathematical Physics, Analysis and Geometry, Vol.14, Iss.1, 2011-03, pp. : 21-38

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Abstract

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.