Normal eigenvalue: Difference between revisions

Revision as of 23:07, 20 September 2019

Revision as of 23:08, 20 September 2019

Line 1:

In [[Spectral theory]], for [[Unbounded_operator#Closed_linear_operators|closed linear operators]] which are not necessarily [[SelfadjointSelf-adjoint operators|selfadjointself-adjoint]], 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 a finite-dimensional [[generalized eigenspace]] and an [[invariant subspace]] where <math>A-\lambda I_{\mathbf{X}}</math> has a bounded inverse.

==Root lineal==