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{{Short description|Spectral theory eigenvalue}}
In mathematics, specifically in [[spectral theory]], an [[eigenvalue]] of a [[Unbounded operator#Closed linear operators|closed linear operator]] is called '''normal''' if the space admits a decomposition into a direct sum of a finite-dimensional [[generalized eigenspace]] and an [[invariant subspace]] where <math>A-\lambda I</math> has a bounded inverse.
The set of normal eigenvalues coincides with the [[discrete spectrum (mathematics)|discrete spectrum]].
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