Decay Preserving Operators and Stability of the Essential Spectrum

Details Decay Preserving Operators and Stability of the Essential Spectrum Decay Preserving Operators and Stability of the Essential Spectrum

2004-11-22

arxiv.org/abs/math/0411489v2

Mathematics

Spectral Theory

This revised version differs from the original one in three respects: 1. Several improvements of the stability criteria for op

Scientific paper

We establish 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 an euclidean space, singular Dirac operators, and Laplace-Beltrami operators on Riemannian manifolds with measurable metrics.

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