A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.
Stability of periodic solutions of conservation laws with vis- cosity: Analysis of the Evans function.Archive for Rational Mechanics and Analysis, 166:99–166
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The Evans function as a lower bound on the spectral distance function
A natural normalization makes the Evans function magnitude a lower bound on spectral distance, so non-zero values certify a disk in the resolvent set.