Commutator Bounds for Eigenvalues, with Applications to Spectral Geometry

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/31260

Title: Commutator Bounds for Eigenvalues, with Applications to Spectral Geometry
Author: Harrell, Evans M., II ; Michel, Patricia L.
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.
Description: Work related to Michel's Doctoral Thesis at Georgia Institute of Technology.
Type: Pre-print
URI: http://hdl.handle.net/1853/31260
Date: 1994-03
Contributor: Georgia Institute of Technology. School of Mathematics
Georgia Institute of Technology. Center for Dynamical Systems and Nonlinear Studies
Relation: SOM0394-009
Publisher: Georgia Institute of Technology
Subject: Eigenvalues
Laplace-Beltrami operators
Eigenvalue inequalities

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