Person:
Harrell,
Evans M.
Harrell,
Evans M.
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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.