Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians

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dc.creatorDodziuk, Jozef
dc.creatorMathai, Varghese
dc.date2003-12-24
dc.date2005-04-10
dc.date.accessioned2026-07-07T06:26:05Z
dc.date.available2026-07-07T06:26:05Z
dc.descriptionIn this paper, a discrete form of the Kato inequality for discrete magnetic Laplacians on graphs is used to study asymptotic properties of the spectrum of discrete magnetic Schrodinger operators. We use the existence of a ground state with suitable properties for the ordinary combinatorial Laplacian and semigroup domination to relate the combinatorial Laplacian with the discrete magnetic Laplacian.
dc.description14 pages, latex2e, final version, to appear in "Contemporary Math."
dc.identifierhttps://arxiv.org/abs/math/0312450
dc.identifierhttp://arxiv.org/abs/math/0312450
dc.identifierContemporary Mathematics, vol. 398 (2006) 69-81.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97009
dc.subjectSpectral Theory
dc.titleKato's inequality and asymptotic spectral properties for discrete magnetic Laplacians
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