Commutator Bounds for Eigenvalues, with Applications to Spectral Geometry
Author(s)
Michel, Patricia L.
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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.
Sponsor
US NSF through grant DMS-9211624 and NSF grant INT-9217529
Date
1994-03
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Text
Resource Subtype
Pre-print