The essential spectrum of the Laplacian

Nelia Charalambous; Zhiqin Lu

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arXiv · 1211.3225

The essential spectrum of the Laplacian

Nelia Charalambous·Zhiqin Lu

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Abstract

In this article we prove a generalization of Weyl's criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get new results for its essential spectrum.

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Nelia Charalambous, Zhiqin Lu. 2013-05-28. The essential spectrum of the Laplacian. https://arxiv.org/abs/1211.3225

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