Semi-Fredholmness of the discrete Gauss-Bonnet Operator
Functional Analysis
2016-12-13 v1 Spectral Theory
Abstract
In the context of an infinite locally finite weighted graph, we give a necessary and sufficientcondition for semi-Fredholmness of the Gauss-Bonnet operator. This result is a discrete version of thetheorem of Gilles Carron in the continuous case [5]. In addition, using a criterion of Anghel [2], we givea sufficient condition to have an operator of Gauss-Bonnet with closed range. Finally, this work can beconsidered as an extension of the work of Colette Ann\'e and Nabila Torki-Hamza [3].
Cite
@article{arxiv.1612.03750,
title = {Semi-Fredholmness of the discrete Gauss-Bonnet Operator},
author = {Hèla Ayadi},
journal= {arXiv preprint arXiv:1612.03750},
year = {2016}
}
Comments
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