most citedOn Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator

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On Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator

Mark S. Ashbaugh, Lotfi Hermi

We produce a new proof and extend results by Harrell and Stubbe for the discrete spectrum of a self-adjoint operator. An abstract approach--based on commutator algebra, the Rayleig…

math.SP2000

Isoperimetric and Universal Inequalities for Eigenvalues

Mark S. Ashbaugh

This paper reviews many of the known inequalities for the eigenvalues of the Laplacian and bi-Laplacian on bounded domains in Euclidean space. In particular, we focus on isoperimet…