Essential spectrum of difference operators on periodic metric spaces |
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Authors: | V. Rabinovich S. Roch |
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Affiliation: | 1.Instituto Politécnico Nacional,ESIME Zacatenco,Espa?ol,Mexico;2.Technische Universit?t Darmstadt,Darmstadt,Germany |
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Abstract: | The paper deals with the study of Fredholm property and essential spectrum of general difference (or band) operators acting on the spaces l p (X) on a discrete metric space X periodic with respect to the action of a finitely generated discrete group. The Schrödinger operator on a combinatorial periodic graph is a prominent example of a band operator of this kind. |
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Keywords: | difference operator discrete metric space periodic graph Fredholm property essential spectrum |
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