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math.SP2022
Weak convergence of spectral shift functions revisited
Carson Connard, Benjamin Ingimarson, Roger Nichols +1
We study convergence of the spectral shift function for the finite interval restrictions of a pair of full-line Schrödinger operators to an interval of the form with…
math.CA2022
Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm-Liouville operators
Fritz Gesztesy, Roger Nichols
Using the variational characterization of the principal (i.e., smallest) eigenvalue below the essential spectrum of a lower semibounded self-adjoint operator, we prove strict domai…