A Spectral Property of Discrete Schrödinger Operators with Non-Negative Potentials
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.
Integral Equations and Operator Theory
Digital Object Identifier (DOI)
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