Normal eigenvalue: Difference between revisions

Revision as of 22:34, 20 September 2019

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In [[Spectral theory]], for [[Unbounded_operator#Closed_linear_operators|closed linear operators]] which are not necessarily [[Selfadjoint operators|selfadjoint]], the set of ''normal eigenvalues'' is defined as a subset of the [[point spectrum]] <math>\sigma_p(A)</math> of <math>A</math> such that the space <math>\mathbf{X}</math> admits a decomposition into thea finite-dimensional [[generalized eigenspace]] and an [[invariant space]] where <math>A-\lambda I_{\mathbf{X}}</math> has a bounded inverse.

==Root lineal==