Abstract

We use C^*-algebras to determine the non-propagation estimates for a certain class of generalized Schrödinger operators acting on the Hilbert space \ell^2(\Gamma), where \Gamma is a tree, and we give some examples for other classes of potentials.

DOI

10.3906/mat-1010-75

Keywords

C^*-algebra, Schrödinger operator, propagation properties, tree

First Page

490

Last Page

499

Recommended Citation

ATHMOUNI, N, & DAMAK, M (2013). On the non-propagation theorem and applications. Turkish Journal of Mathematics 37 (3): 490-499. https://doi.org/10.3906/mat-1010-75

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