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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 2, Pages 83–87
DOI: https://doi.org/10.4213/faa2951 (Mi faa2951) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Essential Spectrum of Difference Operators on Periodic Metric Spaces

V. S. Rabinovicha, S. Rochb

a Instituto Politecnico Nacional, ESIME–Zacatenco
b Technische Universität Darmstadt, Department of Mathematics
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DOI: https://doi.org/10.4213/faa2951
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.
Keywords: difference operator, discrete metric space, periodic graph, Fredholm property, essential spectrum.
Received: 06.06.2007
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 2, Pages 151–154
DOI: https://doi.org/10.1007/s10688-009-0021-2
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. S. Rabinovich, S. Roch, “Essential Spectrum of Difference Operators on Periodic Metric Spaces”, Funktsional. Anal. i Prilozhen., 43:2 (2009), 83–87; Funct. Anal. Appl., 43:2 (2009), 151–154
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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