94-280 E.M. Harrell II, P.L. Michel
Commutator Bounds for Eigenvalues, with applications to Spectral Geometry (37K, Latex) Sep 6, 94
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Abstract. We prove a purely algebraic version of an eigenvalue inequality of Hile and Protter, and derive corollaries bounding differences of eigenvalues of Laplace--Beltrami operators on manifolds. We significantly improve earlier bounds of Yang and Yau, Li, and Harrell.

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