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Harrell, Evans M.

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Commutator Bounds for Eigenvalues of Some Differential Operators

1994-03 , Harrell, Evans M. , Michel, Patricia L.

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Commutator Bounds for Eigenvalues, with Applications to Spectral Geometry

1994-03 , Harrell, Evans M. , Michel, Patricia L.

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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