04-355 V. Georgescu, S. Golenia
Decay Preserving Operators and Stability of the Essential Spectrum (593K, Postscript) Nov 3, 04
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Abstract. We establish some criteria for the stability of the essential spectrum for unbounded operators acting in Banach modules. The applications cover operators acting on sections of vector fiber bundles over non-smooth manifolds or locally compact abelian groups, in particular differential operators of any order with complex measurable coefficients on $\R^n$, singular Dirac operators and Laplace-Beltrami operators on Riemannian manifolds with measurable metrics.

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