Spectrum (linear operator)/Definition

From Citizendium
Jump to navigation Jump to search
This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
A definition or brief description of Spectrum (linear operator).

A set of values {λ} characteristic of an operator O mapping a Banach space into itself such that O xλ = λ xλ for some nonzero vectors xλ.