Decay Preserving Operators and Stability of the Essential Spectrum

Vladimir Georgescu; Sylvain Golenia

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arXiv · math/0411489

Decay Preserving Operators and Stability of the Essential Spectrum

Vladimir Georgescu·Sylvain Golenia

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Abstract

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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BibTeX RIS

Vladimir Georgescu, Sylvain Golenia. 2005-03-08. Decay Preserving Operators and Stability of the Essential Spectrum. https://arxiv.org/abs/math/0411489

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