- 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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94-280.tex