A Spectral Property of Discrete Schrödinger Operators with Non-Negative Potentials
Document Type
Article
Publication Date
6-1-2013
Abstract
In the context of an infinite weighted graph of bounded degree, we give a sufficient condition for the discrete Schrödinger operator with a non-negative potential to have a strictly positive bottom of the spectrum. The main result is a discrete analogue of a theorem of Shen in the setting of complete Riemannian manifolds. © 2013 Springer Basel.
Publication Title
Integral Equations and Operator Theory
Volume
76
Issue
2
First Page
285
Last Page
300
Digital Object Identifier (DOI)
10.1007/s00020-013-2060-6
ISSN
0378620X
Citation Information
Milatovic. (2013). A Spectral Property of Discrete Schrödinger Operators with Non-Negative Potentials. Integral Equations and Operator Theory, 76(2), 285–300. https://doi.org/10.1007/s00020-013-2060-6
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